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-3x^2-6x=-9
solve using the quadratic formula

User Mevdschee
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Answer:

Explanation:

To solve the quadratic equation -3x^2 - 6x = -9 using the quadratic formula, we first need to rewrite the equation in the standard form, which is ax^2 + bx + c = 0.

In this case, we have -3x^2 - 6x + 9 = 0. Now we can identify the coefficients:

a = -3

b = -6

c = 9

The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(-3)(9))) / (2(-3))

x = (6 ± √(36 + 108)) / (-6)

x = (6 ± √144) / (-6)

x = (6 ± 12) / (-6)

Now we can solve for both possible values of x:

For the positive square root:

x = (6 + 12) / (-6)

x = 18 / (-6)

x = -3

For the negative square root:

x = (6 - 12) / (-6)

x = -6 / (-6)

x = 1

Therefore, the solutions to the quadratic equation -3x^2 - 6x = -9 are x = -3 and x = 1.

User Danny Roberts
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