Question

Complete the following activity to solve the equation solve the quadratic equation 9x² +6x =4 by using quadratic formula solution : 9x² + 6x -4=0

Answer 1

The solutions are x = 0.412 or x = - 1.08

Step-by-step explanation:

The quadratic formula gives the roots of the a quadratic equation ax² + bx + c = 0 as $x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}$.

Now, given that the quadratic equation is 9x² + 6x - 4 = 0

So, the solutions of the equation will be

$x = \frac{- 6 \pm \sqrt{(6)^{2} - 4(9)(- 4)} }{2(9)} = \frac{-6 \pm 13.42}{18}$

⇒ x = 0.412 or - 1.08 (Answer)