Question

What is the solution to this equation pls pls pls x(at the power of 2) = 6 + 9x

Answer 1

Answer:

The solution to the equation are x = 5.089  and    x = -0.589

Step-by-step explanation:

Given:

x(at the power of 2) = 6 + 9x

To Find:

The solution of the equation = ?

Solution:

The given equation can be written as  

=> $2x^2 = 6+9x$

=>$2x^2-6 -9x=0$

=>$2x^2-9x-6=0$

Using the quadratic formula,

$x = \frac{-b\pm \sqrt{(b^2 -4ac}}{2a}$

where

a= 2

b = -9

c = -6

Substituting these values,

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

$x = \frac{-(-9)\pm \sqrt{(81) -4(-12)}}{2(2)}$

$x = \frac{-(-9)\pm \sqrt{81+48}}{4}$

$x = \frac{-(-9)\pm \sqrt{129}}{4}$

$x = \frac{-(-9)\pm 11.357}{4}$

$x = \frac{9 \pm 11.357}{4}$

$x = \frac{9 + 11.357}{4}$                        $x = \frac{9 - 11.357}{4}$

$x = \frac{20.357}{4}$                            $x = \frac{-2.357}{4}$  

x =5.089                                                           x =   -0.589