If a , b , c are real numbers satisfying the condition a + b + c = 0, then the roots of the quadratic equation 3 a x 2 + 5 b x + 7 c = 0 are

Question

If a , b , c are real numbers satisfying the condition a + b + c = 0, then the roots of the quadratic equation 3 a x 2 + 5 b x + 7 c = 0 are, Positive, negative, real and equal, distinct but not imaginary

MARKS App · Accepted Answer

D = 25 b 2 - 4 × 3 a × 7 c = 25 - a - c 2 - 84 a c = 25 a 2 + c 2 + 2 a c - 84 a c = 25 a 2 + c 2 - 34 a c = 17 a 2 + c 2 - 2 a c + 8 a 2 + c 2 = 17 a - c 2 + 8 a 2 + c 2 D > 0 ⇒ Roots are real and distinct

Search any question & find its solution

Looking for more such questions to practice?