If a, b are the two roots of a quadratic equation such that a + b = 24 and a – b = 8, then the ...
If a, b are the two roots of a quadratic equation such that a + b = 24 and a – b = 8, then the quadratic equation having a and b as its roots is :
Answer/Solution
x2 - 24x + 128 = 0
Steps/Work
Sol.(c) a + b = 24 and a – b = 8
=> a = 16 and b = 8 => ab = 16 × 8 = 128
A quadratic equation with roots a and b is
x2 - (a + b)x + ab = 0 or x2 - 24x + 128 = 0
Answer C
=> a = 16 and b = 8 => ab = 16 × 8 = 128
A quadratic equation with roots a and b is
x2 - (a + b)x + ab = 0 or x2 - 24x + 128 = 0
Answer C