How to Use The Quadratic formula-to Solve Algebrai Video

How to Use The Quadratic formula-to Solve Algebraic Equations

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How to Use The Quadratic formula-to Solve Algebrai -

Mathematical tutorial: this tutorial will show you how to use the quadratic formula-to solve algebraic...

How to Use The Quadratic formula-to Solve Algebrai -

Mathematical tutorial: this tutorial will show you how to use the quadratic formula-to solve algebraic equations.

Added: 9/17/09

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By: Guest More than a year ago

The part of the video that describe unfoiling and gives an example is incorrect. The narrator comments that "x equals -4, and x equals 1," which is true, but the animation writes (x-4)(x+1), wherein x woul equal 4 and -1 (the exact opposite). Thus, although the narrator is correct to say that x is either -4 or 1, the unfoiling in the video is wrong.

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How to Use The Quadratic formula-to Solve Algebraic Equations

It is a formula that helps you find solutions even when the equations aren’t very nice. Nasty fractions, decimals with no end or radicals, the quadratic formula is special to quadratic equations which can have one solution, two solution or none. The quadratic formula says that if a quadratic equation is in the form AX² +BX + C = 0, then you can find it’s solutions. The values of X by inserting the coefficients, the number multiplied by a variable into a formula, that is the first step. Remember A, B and C are any real numbers, the A can’t equal zero but the B or C can equal zero. Next, note the operation symbol in the formula, that means that the equation can be broken into two separate equations. One using the plus sign in front of the radical and the other using the minus sign in front of the radical, sometimes it is easier to use the formula. That the equation has really large or nasty numbers. In general though, it is faster to factor using unfoil and then the multiplication property of zero when you can. If you are doing problems which can’t be a factor watch out for this two things. First, D means use the opposite of B, so if B in the standard form of the equation is a positive number. Then change it to the opposite, which would be a negative number. ] And if B is negative, then change it to positive in the formula. Second, be careful when simplifying under the radical. The order of operations dictates that you square the value of B first and then multiply the last three factors together before subtracting them from the square root of B. Some signers can occur if you are not careful, you can apply the quadratic formula to any quadratic equation to find the solutions. But whenever the answers come out as integers or fractions, it means that the equation could be factored by using the unfoil method inside of the quadratic formula. For example, this quadratic equation happens to factor so X = -4 and X = 1. You can know this can be factored – that doesn’t mean you shouldn’t use the quadratic formula. How it look using the A = 1, B = 3 and C = -4, it looks like this. X = -3 +/- the square root of 3² - 4(1)(-4/2)(1) = -3+/- the square root of 9+16/2 = -3+/- the square root of 25/2 = -3+/- 5/2 = -3 – 5/2 or -3 + 5/2. And as you might expect the solution is X=-4, X=1.

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It is a formula that helps you find solutions even when the equations aren’t very nice. Nasty fractions, decimals with no end or radicals, the quadratic formula is special to quadratic equations which can have one solution, two solution or none. The quadratic formula says that if a quadratic equation is in the form AX² +BX + C = 0, then you can find it’s solutions.

The values of X by inserting the coefficients, the number multiplied by a variable into a formula, that is the first step. Remember A, B and C are any real numbers, the A can’t equal zero but the B or C can equal zero. Next, note the operation symbol in the formula, that means that the equation can be broken into two separate equations. One using the plus sign in front of the radical and the other using the minus sign in front of the radical, sometimes it is easier to use the formula. That the equation has really large or nasty numbers.

In general though, it is faster to factor using unfoil and then the multiplication property of zero when you can. If you are doing problems which can’t be a factor watch out for this two things. First, D means use the opposite of B, so if B in the standard form of the equation is a positive number. Then change it to the opposite, which would be a negative number. ]

And if B is negative, then change it to positive in the formula. Second, be careful when simplifying under the radical. The order of operations dictates that you square the value of B first and then multiply the last three factors together before subtracting them from the square root of B. Some signers can occur if you are not careful, you can apply the quadratic formula to any quadratic equation to find the solutions.

But whenever the answers come out as integers or fractions, it means that the equation could be factored by using the unfoil method inside of the quadratic formula. For example, this quadratic equation happens to factor so X = -4 and X = 1. You can know this can be factored – that doesn’t mean you shouldn’t use the quadratic formula.

How it look using the A = 1, B = 3 and C = -4, it looks like this. X = -3 +/- the square root of 3² - 4(1)(-4/2)(1) = -3+/- the square root of 9+16/2 = -3+/- the square root of 25/2 = -3+/- 5/2 = -3 – 5/2 or -3 + 5/2. And as you might expect the solution is X=-4, X=1.

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