1) Solve for x: f) 10x2 + 3bx + a2- 7ax- b2 - Maths - Quadratic Equations

Question

1) Solve for x: f) 10x2 + 3bx + a2- 7ax-
b2

Anuradha Sharma · Accepted Answer

10x2
+ 3bx - 7ax + a2
-b2
=0

10x2
+ (5b- 2b - 5a -2a) x + a2
-b2
=0

10x2
+(5b- 5a- 2b -2a)x+ a2
-b2
=0

10x2
-5(a- b)x - 2(a+b)x+ a2
-b2
=0

5x( 2x - (a-b)) -(a+b) ( 2x -(a-b)) = 0

(5x-(a+b)) ( 2x - (a-b)) = 0

x = (a+b) / 5 or x = (a-b) / 2