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NTPC Graduate Tier 1 2025 Shift-1 📅 05 Jun, 2025

Find the value of K if the quadratic equations $2x^{2}+Kx+8=0$ and $3x^{2}+4x+12=0$ have both roots common.

A
$\frac{5}{3}$
B
$\frac{7}{2}$
C
$\frac{8}{3}$
D
$\frac{3}{2}$
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NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-1
Find the value of K if the quadratic equations $2x^{2}+Kx+8=0$ and $3x^{2}+4x+12=0$ have both roots common.
Correct Answer
$\frac{8}{3}$
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