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Question

2x2 +x-15 = 0

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Solution

Given: 2x2 +x-15 = 0
On rewriting this equation in standard form of the quadratic equation, we get:
10x2 + x – 1 = 0
On comparing this equation with ax2 + bx + c = 0, we get:
a = 10, b = 1, c = –1
For the quadratic equation ax2 + bx + c = 0, we know that the quadratic formula is

x=-b±b2-4ac2a

On substituting a = 10, b = 1, c = –1, we get:

x = -1±12-410-1210x = -1±1+40210x = -1±4120x = -1+4120 , -1-4120Thus, the solution of the given equation is x = -1+4120 , -1-4120


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