How do you solve using the completing the square method 10x2=4x+7?

2 Answers

x1=2+7410andx2=27410

Explanation:

10x2=4x+7

10x24x7=0

100x240x70=0

100x240x+474=0

(10x2)2(74)2=0

(10x2)2=(74)2

Hence x1=2+7410 and x2=27410

Jul 9, 2017

x=15±3750

Explanation:

10x24x=7
Divide both sides by 10:
x24x10=710
x2(2x5)=710
(x22x5)+125=710+125
(x15)2=3750
(x15)=±3750
x=15±3750