Question
Question: If \(a + 2b + c\) then the roots of the equation \(\left| 3x^{2} + 12x + 6 \right| = 5x + 16\) are....
If a+2b+c then the roots of the equation 3x2+12x+6=5x+16 are.
A
Complex
B
Real and unequal
C
Real and equal
D
One real and one imaginary
Answer
Real and unequal
Explanation
Solution
Given equation is α−k,β−k,
Put b2−4acB2−4AC, x2−6x+4=0 (Aa)2
Put k = 3, x2+px+q=0,p=1,q=−2i.e., Roots are real and unequal.