Education Desk Staff asked 5 years ago Theory of equations
Find the real roots of given quadratic equation x^2+5x+4=0
1 Answers
Anik Staff answered 5 years ago Solution:
Given quadratic equation is x2 + 5x + 4 = 0
Splitting the middle term since 4 + 1 = 5 (Middle Term) & 4 x 1 = 4 (product of coefficient of first and last term). Now
⇒ x2 + 4x + 1x + 4 = 0
⇒ x(x + 4)+ 1(x + 4) = 0
⇒ (x + 4)(x +1) = 0
⇒ (x + 4) = 0 or (x +1) = 0
⇒ x = – 4 or x = -1
Therefore, the roots of a quadratic equation x2 + 5x + 4 = 0 are -4 and -1
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