Question

Q) One root of quadratic equation
x² + 2ab = (2a + b)x is 2a then the other root is...?
a) 2b
b) 2a
c) b
d) a​

Answer 1

Answer:

'b'

Step-by-step explanation:

x² + 2ab = (2a + b)x

=> x² - (2a+b)x + 2ab  = 0

=> Ax^2 + Bx + C =0 (Standard form of quadratic equation

Let the roots be R and S

=> Sum of roots = -B/A = -(-(2a+b))/1 = 2a + b = R + S

And product of the roots = C/A = 2ab/1 = 2ab = RS

Now :-

2a + b = R + S , and 2ab = RS

So the two roots are 2a and b ( 2a + b is the sum, while the product is 2ab)