Let a 0, b 0 and c 0. Then both the roots of the equation ax 2 + bx + c = 0: (A) are real and negative (B) have negative real parts (C) have positive real parts (D) none of these

Question

Let a > 0, b > 0 and c > 0. Then both the roots of the equation ax 2 + bx + c = 0: (A) are real and negative (B) have negative real parts (C) have positive real parts (D) none of these

Agrata Singh · Answer

Roots of any quadratic eqn are given by (-b+ √D)/2a and (-b-√D)2a where D=b 2 -4ac Now no information is given to find if D is a perfect square or not. However we know b>0 Hence -b is a negative quantity Therefore option (B) is correct

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Let a > 0, b > 0 and c > 0. Then both the roots of the equation ax 2 + bx + c = 0: (A) are real and negative (B) have negative real parts (C) have positive real parts (D) none of these

Let a > 0, b > 0 and c > 0. Then both the roots of the equation
ax² + bx + c = 0:

        (A)    are real and negative

        (B)    have negative real parts

        (C)    have positive real parts

        (D)    none of these

1 Answers

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Let a > 0, b > 0 and c > 0. Then both the roots of the equation ax 2 + bx + c = 0: (A) are real and negative (B) have negative real parts (C) have positive real parts (D) none of these

Let a > 0, b > 0 and c > 0. Then both the roots of the equation ax2 + bx + c = 0: (A) are real and negative (B) have negative real parts (C) have positive real parts (D) none of these

1 Answers

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Let a > 0, b > 0 and c > 0. Then both the roots of the equation
ax² + bx + c = 0:

(A) are real and negative

(B) have negative real parts

(C) have positive real parts

(D) none of these