Question

Let a , b, c be three real numbers such that a + 2b + 4c = 0. Then the equation ax² + bx + c = 0 

• (A) has both the roots complex
• (B) hat its roots lying within – 1 < x < 0
• (C) has one of roots equal to 1/2
• (D) has its roots lying within 2 < x < 6

Answer 1

The Correct Option is C

Explanation:
$$\begin{array}{l}\frac{1}{4}a+\frac{1}{2}b+c=0\\ {\left(\frac{1}{2}\right)}^{2}a+\left(\frac{1}{2}\right)b+c=0\\ \therefore x=\frac{1}{2}\end{array}$$