Question

Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? −6x2 = −9x + 7

Answer 1

The values of a, b, and c in given quadratic equation are:

a = 6 and b = -9 and c = 7

Solution:

Given quadratic equation is:

$-6x^2 = -9x + 7$

Let us first convert the given quadratic equation to standard form

The standard form is $ax^2+bx+c=0$ with a, b, and c being constants, or numerical coefficients, and x is an unknown variable

$-6x^2 = -9x + 7\\\\-6x^2+9x-7=0\\\\6x^2-9x+7=0$

Now we have to find the values of a, b, c

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Thus comparing $6x^2-9x+7=0$ with standard form of quadratic equation $a x^{2}+b x+c=0$

a = 6

b = -9

c = 7

Thus values of a, b, and c are found

Answer 2

Answer:

a=-6 b=-9 c=7

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