Question

What is the solution to this equation pls pls pls

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

Answer 1

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 = (-b\pm √((b^2 -4ac))/(2a)`

where

a= 2

b = -9

c = -6

Substituting these values,

`x = (-(-9)\pm √((-9)^2 -4(2)(-6)))/(2(2))`

`x = (-(-9)\pm √((81) -4(-12)))/(2(2))`

`x = (-(-9)\pm √(81+48))/(4)`

`x = (-(-9)\pm √(129))/(4)`

`x = (-(-9)\pm 11.357)/(4)`

`x = (9 \pm 11.357)/(4)`

`x = (9 + 11.357)/(4)`
`x = (9 - 11.357)/(4)`

`x = (20.357)/(4)`
`x = (-2.357)/(4)`

x =5.089 x = -0.589