Question

4√5x²-17x+3√5=0 find the roots of quadratic equations by completing square method​

Answer 1

Step-by-step explanation:

4√5x² - 17x + 3√5

=> 4√5x² - 12x - 5x + 3√5

=> 4x(√5x - 3) - √5(√5x - 3)

=> (4x - √5)(√5x - 3)

=> x = √5/4 = alpha and x = 3/√5 = beta

verification

alpha + beta = -b/a

=> √5/4 + -3/√5 = -(-17)/4√5

=> (5 + 12)/4√5 = 17/4√5

=> 17/4√5 = 17/4√5

r.h.s = l.h.s

and,

alpha×beta = c/a

=> √5/4 × 3/√5 = 3√5/4√5

=> 3/4 = 3/4

r.h.s = l.h.s