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Find the root of the quadratic equations by using the quadratic formula in the following: x2-35x+10 = 0 - Mathematics

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Sum

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

`x^2 - 3sqrt(5)x + 10` = 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 = (-(-3sqrt(5)) +- sqrt((-3sqrt(5))^2 - 4(1)(10)))/(2(1))`

= `(3sqrt(5) +- sqrt(5))/2`

= `2sqrt(5), sqrt(5)`

Concept: Nature of Roots
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APPEARS IN

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