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Question

2x2 – x – 4 = 0

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Solution

Given: 2x2 – x – 4 = 0
On comparing this equation with ax2 + bx + c = 0, we get:
a = 2, b = –1 and c = –4
For the quadratic equation ax2 + bx + c = 0, we know that the quadratic formula is

x=-b±b2-4ac2a
On substituting a = 2, b = –1 and c = –4, we get:
x = --1±-12-4×2×-42×2 =1±334
Thus, the solution of the given quadratic equation is x = 1+334 , 1-334.

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