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2 years ago

Solve the quadratic equation 9x ^ 2 - 6x = 11 using the quadratic formula.

Mathematics

1 answer:

Wewaii [24]2 years ago

8 0

Answer:

x = 1.48803, x= -0.821367

Step-by-step explanation:

9x²-6x=11

9x²-6x-11=0

use quadratic formula: x = [- b ± √b²- 4ac)]÷ 2a

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Step-by-step explanation:

We have the quadratic equation $d^{2}=36d+324$ i.e. $d^{2}-36d-324=0$

As, the roots of the quadratic equation $ax^{2}+bx+c=0$ are given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ .

So, from the given equation, we have,

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Substituting the values in $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ , we get,

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