Question

If the quadratic equation $\left(a^2-b^2\right) x^2+\left(b^2-c^2\right) x+$ $\left(c^2-a^2\right)=0$ has equal roots, then which of the following is true?

• A. $b^2+c^2=a^2$
• B. $b^2+c^2=2 a^2$
• C. $b^2-c^2=2 d^2$
• D. $d^2=b^2+2 c^2$

Answer 1

Answer: (B)

Observe the coefficient of each term and guess one root