You visited us 1 times! Enjoying our articles? Unlock Full Access!

Set Builder Form

Find the valu...

Question

Find the value of 'm' so that the equation ${9 x}^{2} - 8 m x - 9 = 0$ has one root as the negative of the other.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 0
Given equation is: $9 x^{2} - 8 m x - 9 = 0$
Comparing with standard equation $a x^{2} + b x + c = 0$ , we get
$a = 9, b = - 8 m, c = - 9$
Let $α, β$ be the roots
Then, $α + β = - \frac{b}{a} = \frac{8 m}{9}$
But, $α = - β$
Thus, $α + β = 0$
$\Rightarrow \frac{8 m}{9} = 0$
$\Rightarrow m = 0$

Suggest Corrections

Similar questions

Find the value of $m$ so that the quadratic equation $m x (5 x - 6) + 9 = 0$ has two equal roots.

(1) If ‘m’ and ‘n’ are the roots of the equation x² − 6x + 2 = 0 find the value of

(i) (m + n) mn

(ii)

(2) If ‘a’ and ‘b’ are the roots of the equation 3m² = 6m + 5, find the value of

(i)

(ii) (a + 2b) (2a + b)

(3) If ‘p’ and ‘q’ are the roots of the equations 2a² − 4a + 1 = 0, find the value of

(i) (p + q)² + 4pq

(ii) p³ + q³

(4) From the quadratic equation whose roots are

(5) Find the value of ‘k’ so that the equation x² + 4x + (k + 2) = 0 has one root equal to zero.

(6) Find the value of ‘q’ so that the equation 2x² − 3qx = 5q = 0 has one root which is twice the other.

(7) Find the value of ‘p’ so that the equation 4x² − 8px + 9 = 0 has roots whose difference is 4.

(8) If one root of the equations x² + px + q = 0 is 3 times the other prove that 3p² = 16q

2 x^{2} - 3 q x + 5 q = 0

p

p x (x - 3) + 9 = 0

p

{4 x}^{2} - 8 p x + 9 = 0

4

Join BYJU'S Learning Program