Write the quadratic equation in standard form:10, plus, 8, x, minus, 4, x, squared, equals, minus, 210+8x−4x 2 =−2
Question
Write the quadratic equation in standard form:10, plus, 8, x, minus, 4, x, squared, equals, minus, 210+8x−4x 2 =−2
Solution
The given equation is: 10 + 8x - 4x^2 = -2
To write this in standard form, we need to rearrange the terms and set the equation to zero. The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.
First, let's move the -4x^2 term to the beginning of the equation, and move the -2 to the other side of the equation:
-4x^2 + 8x + 10 = -2
Then, add 2 to both sides to set the equation to zero:
-4x^2 + 8x + 12 = 0
This is the quadratic equation in standard form.
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