SOLUTION: Solve the quadratic equation by completing the square. {{{ 2x^2 }}} + 5x - 8 = 0 Could you please provide me a detailed explanation of how to obtain the answer

Question 188824: Solve the quadratic equation by completing the square.
+ 5x - 8 = 0

Could you please provide me a detailed explanation of how to obtain the answer
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve the quadratic equation by completing the square.
2x^2 + 5x - 8 = 0
:
We need to have the coefficient of x^2 equal 1, divide equation by 2
x^2 + x - 4 = 0
:
x^2 + x + ___ = 4
Choose a value that will complete the square
Take half the coefficient of x and square it to accomplish this:
Square this and you have , add to both sides
x^2 + x + = 4 +
x^2 + x + = +
x^2 + x + =
which is
(x + )^2 =
Find the square root of both sides:
x + = +/-
:
x = +/-
Extract the perfect square
x = +/-
:
x =
and
x =
RELATED QUESTIONS
Find exact values for all real/complex number solutions to the polynomial equation...... (answered by RAY100)

Could you please provide a detailed explanation of how to solve the following...... (answered by stanbon)

Could you please help me solve this by completing the square: x^2+10x-8=0 (answered by oscargut)

Solve the quadratic equation by completing the square: 2x^2 + 10x + 11 = 0 Can... (answered by Earlsdon)

Could someone please help me with this equation? Solve this quadratic equation by... (answered by jim_thompson5910)

Could you please help me solve this quadratic equation using completing the square... (answered by Alan3354)

Could you please help solve this quadratic equation using completing the square method? (answered by lwsshak3,josgarithmetic,josmiceli)

Could you please provide me with a detailed explantation on how to solve the following... (answered by jim_thompson5910)

1) Solve the quadratic equations by factoring: 5x� = 125 2) Solve the quadratic... (answered by checkley71)