CBSE Class 10 Maths (Basic) 2025 · Paper 430/1/1 · Question 32(b)

Quadratic Equations 5 marks Medium

Find the value(s) of

k

for which the equation

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

has real and equal roots. Hence, find the roots of the equations so obtained.

Answer

k = 26

k = - 26

. For

k = 26

, the roots of

2 x^{2} + 26 x + 3 = 0

are

- \frac{6}{2}, - \frac{6}{2}

. For

k = - 26

, the roots of

2 x^{2} - 26 x + 3 = 0

are

\frac{6}{2}, \frac{6}{2}

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