How do you solve 2x^2 - 10x + 7 = 0 using the quadratic formula?

1 Answer
Shwetank Mauria
Mar 20, 2018

x=(5+sqrt11)/2 or x=(5-sqrt11)/2

Explanation:

Quadratic formula gives the solution of a quadratic equation. For a quaddratic equation ax^2+bx+c=0, the roots given by quadratic formula are (-b+-sqrt(b^2-4ac))/(2a).

Hence for 2x^2-10x+7=0, we have a=2, b=-10 and c=7 and hence solution is

(-(-10)+-sqrt((-10)^2-4*2*7))/(2*2)

= (10+-sqrt(100-56))/4

= (10+-sqrt44)/4

= (10+-2sqrt11)/4

i.e. either x=(5+sqrt11)/2 or x=(5-sqrt11)/2

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