What is the best solution of ncert class 10th of quadratic equation of exercise 4.4 of math, This is an important type of question as regarding to math so please guide me for the best solution Find the values of k for each of the following quadratic equations, so that they have two equal roots. (i) 2×2 + kx + 3 = 0
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Find the values of k for each of the following quadratic equations, so that they have two equal roots. (i) 2×2 + kx + 3 = 0 Q.2(1)
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2x2 + kx + 3 = 0
Comparing the given equation with ax2 + bx + c = 0, we get,
a = 2, b = k and c = 3
As we know, Discriminant = b2 – 4ac
= (k)2 – 4(2) (3)
= k2 – 24
For equal roots, we know,
Discriminant = 0
k2 – 24 = 0
k2 = 24
k = ±√24 = ±2√6