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What is the solution to this equation pls pls pls

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

User Maana
by
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1 Answer

4 votes

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 = (-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

User Schoel
by
8.1k points