Easy way of completing the square method
Answers
Answer:
ok,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
brother mark me brain list
THERE ARE A LOT OF WAYS TO SOLVE A QUADRATIC EQUATION USING THE COMPLETING THE SQUARE METHOD...BUT THIS IS THE EASY WAY TO COMPLETE AN EASY EQUATION:
Example 1: Solve the quadratic equation 2x2 + 8x – 10 = 0 by completing the square.
Divide both sides of the equation by 2 then simplify.
2x^2 + 8x – 10 = 0 → (2x^2+8x-10)/2=0/2
→x^2+4x-5=0
Add 5 to both sides of the equation then simplify.
x^2+4x-5=0→x^2+4x-5+5=0+5
→x^2+4x=5
Add to both sides of the equation the square of one-half of 4.
1/2(4)=2→2^2=4
x^2+4x=5→x^2+4x+4=5+4
x^2+4x+4=9
Express x^2+4x+4=9 as a square of a binomial.
x^2+4x+4=9→(x+2)^2=9
Solve (x+2)^2=9 by extracting the square root.
√((x+2)^2 )=±√9→x+2=±3
Solve the resulting linear equations by separating the signs.
x+2=3" ; " x+2=-3
x=3-2" ; " x=-3-2
x=1" ; x"="-5"
Answer: the equation 2x2+8x-10 = 0 has two solutions: x =1 and x = -5.
I HOPE THAT YOU WOULD UNDERSTAND HEHE