What are the approximate solutions of 2x^2+9x=8 to the nearest hundredth

x=0.76 or -5.26

Step-by-step explanation:

You can apply the completing square method to solve this ;

Rewrite the equation with a zero like below

This is by taking 8 to the left side of the equation

Divide the terms by 2 in x²

Move the number term to the right side of the equation

complete square on the lefts side of the equation, how?

balance the equation by adding this value to the right side , in this form

Factorize the left side

Eliminate the square on the left side

x+2.25= ± 3.010

Solve for x

x=+3.010-2.25=0.76

or

x=-3.010-2.25=-5.26

x = 0.76 or x= -5.26

Step-by-step explanation:

Points to remember

Solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

It is given a quadratic equation,

2x² + 9x = 8

⇒ 2x² + 9x - 8 = 0

To find the solution

Here a = 2, b = 9 and c = -8

x = [-b ± √(b² - 4ac)]/2a

 = [-9 ± √(9² - 4*2*(-8))]/2*2

 = [-9 ± √(81 +64)]/4

 =  [-9 ± √(145]/4

 =  [-9 ± 12.04]/4

x =  [-9 + 12.04]/4 or x =  [-9 - 12.04]/4

x = 0.76 or x= -5.26

answer: options

step-by-step explanation: