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

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Sum

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

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

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Solution

The quadratic formula for finding the roots of quadratic equation

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
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.3 | Q 1.(v) | Page 40
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