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Find the roots of the quadratic equations by using the quadratic formula in the following: 2x2 – 3x – 5 = 0 - Mathematics

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Sum

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

2x2 – 3x – 5 = 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 = (-b +- sqrt(b^2 - 4ac))/(2a)`

∴ `x = (-(3) +- sqrt(3^%2 - 4(2)(-5)))/(2(2))`

= `(3 +- sqrt(49))/4`

= `(3 +- 7)/4`

= `5/2, -1`

Concept: Nature of Roots
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APPEARS IN

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