# Find the root of the quadratic equations by using the quadratic formula in the following: 12x2-11x+1 = 0 - Mathematics

Sum

Find the root of the quadratic equations by using the quadratic formula in the following:

1/2x^2 - sqrt(11)x + 1 = 0

#### Solution

ax2 + bx + c = 0, a ≠ 0 is given by,

∴ x = (-(-sqrt(11)) +- sqrt((-sqrt(11))^2 - 4(1/2)(1)))/(2(1/2))

= (sqrt(11) +- sqrt(9))/1

= sqrt(11) +- 3 = 3 + sqrt(11), -3 + sqrt(11)

Concept: Nature of Roots
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10