ax^2+bx+c=0 has real roots a1x^2+b1x+c1=0 has real roots then the roots of (a+a1)x^2+(b+b1)x+c+c1=0
ax^2+bx+c=0 has real roots a1x^2+b1x+c1=0 has real roots then the roots of (a+a1)x^2+(b+b1)x+c+c1=0
tarun gupta , 10 Years ago
Grade 11
Algebra> ax^2+bx+c=0 has real roots a1x^2+b1x+c1=0...
1 AnswersY RAJYALAKSHMI
Last Activity: 10 Years ago
Ans: may be real or non real.roots
Case 1: let ax^2+bx+c=0 be x^2 + 2x + 1 = 0 & a1x^2+b1x+c1=0 be x^2 – 2x + 1 = 0
then (a+a1)x^2+(b+b1)x+c+c1=0 will be x^2 + 2 = 0 which has non real roots.
Case 2: let ax^2+bx+c=0 be x^2 + 2x + 1 = 0 & a1x^2+b1x+c1=0 be 2x^2 + 9x + 4 = 0
then (a+a1)x^2+(b+b1)x+c+c1=0 will be 3x^2 + 11x + 5 = 0 which has real roots.
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