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

Quadratic Equations with Both Roots Common

If px2 + 5x+2...

Question

If $p x^{2} + 5 x + 2 = 0$ and $3 x^{2} + 10 x + q = 0$ have both roots in common, then

q = 4

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

p = \frac{3}{2}

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

p = 4

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

q = \frac{3}{2}

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

Open in App

Solution

The correct option is B $p = \frac{3}{2}$
Comparing both the equation $p x^{2} + 5 x + 2 = 0$ and $3 x^{2} + 10 x + q = 0$ , we get

$\frac{p}{3} = \frac{5}{10} = \frac{2}{q} \Rightarrow p = \frac{3}{2}, q = 4$

Suggest Corrections

Similar questions

q x^{2} - 2 \sqrt{p r} x + q = 0

p x^{2} + 5 x + 2 = 0

3 x^{2} + 10 x + q = 0

x^{2} + 5 x + p = 0 & 2 x^{2} + q x + 12 = 0

p + q =

(k - 1) x^{2} + (k^{2} + 1) x + 6 = 0

2 x^{2} + 10 x + 12 = 0

k

a x^{2} + b x + c = 0

x^{3} + 3 x^{2} + 3 x + 2 = 0

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program