# Find the root of the quadratic equations by using the quadratic formula in the following: x2+22x-6 = 0 - Mathematics

Sum

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

x^2 + 2sqrt(2)x - 6 = 0

#### Solution

ax2 + bx + c = 0, a ≠ 0 is given by,

∴ x = (-2sqrt(2) +- sqrt((2sqrt(2))^2 - 4(1)(-6)))/(2(1))

= (-2sqrt(2) +- sqrt(32))/2

= (-2sqrt(2) +- 4sqrt(2))/2

= sqrt(2), -3sqrt(2)

Concept: Nature of Roots of a Quadratic Equation
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10