Question

Solve the quadratic equation 5x2 – 7x-6=0 by the Method of completing squares.​

Answer 1

Step-by-step explanation:

5x² – 7x-6=0

divide by 5

x²-7x/5 -6/5=0

x²-7x/5 +(7/10)²=(7/10)²+6/5

(x-7/10)²=49/100+6/5

(x-7/10)²=179/100

(x-7/10)=√179/100

(x-7/10)=+√179/10,-√179/10

taking +

x=√179/10+7/10= 7+√179/10

taking -

x=-√179/10+7/10=7-√179/10