Question 1 Report
Find the values of m which make the following quadratic function a perfect square. x2 + 2(m + 1)x + m + 3
Answer Details
x2 + 2(m + 1)x + m + 3 from (A + B)2 = a2 + 2AB + b2 2B = 2(m+1)2 2 ( m + 1 ) 2 = m + 1 .......(i) Also B2 = m + 3..........(ii) Subst. for B in equation ..........(iii) = (m + 1)2 = m + 3 = m2 + 2m + 1 = m + 3 = m2 + 2m - m + 1 - 3 = 0 m2 + m - 2 = 0 (m + 2)(m - 1) = 0 or m - 1 = 0 m = -2 or 1
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