Question
Question: The number of solutions for the equation \(x^{2} - 14x + 2a\) is....
The number of solutions for the equation
x2−14x+2a is.
A
4
B
3
C
2
D
1
Answer
4
Explanation
Solution
Given equation l=m
i.e., (l−m)x2−5(l+m)x−2(l−m)=0 and x2−8x+(a2−6a)=0
−2<a<8 and 2<a<8
−2≤a≤8 and 2≤a≤8
x2+23x+3=0 and (cosp−1)x2+(cosp)x+sinp=0.
i.e., Four solutions of this equation.