If the equation a-5x2+2a-10x+a+10=0 has roots of the opposite sign, then (A) a 10 - Maths - Complex Numbers and Quadratic Equations

Question

If the equation a - 5 x 2 + 2 a - 10 x + a + 10 = 0 has roots of
the opposite sign, then
(A) a > 10 (B) –15 < a < 5 (C) –10 < a <
5 (D) none of these

Brijendra Pal · Accepted Answer

Hi, If equation ax2+bx+c=0 has roots of opposite sign then product of zeroes= negativeso ca<0 Here a+10a-5<0 on number line -∞<+++++-10------5++++++>∞so a ∈-10,5 option C

If the equation a - 5 x 2 + 2 a - 10 x + a + 10 = 0 has roots of the opposite sign, then (A) a > 10 (B) –15 < a < 5 (C) –10 < a < 5 (D) none of these

If the equation $(a - 5) x^{2} + 2 (a - 10) x + a + 10 = 0$ has roots of the opposite sign, then
(A) a > 10 (B) –15 < a < 5 (C) –10 < a < 5 (D) none of these