The equation 2? + kx + 3 = 0 has two equal roots, then the value of k is ?
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Step-by-step explanation:
we have to find the values of k for quadratic equations 2x² + kx + 3 = 0 so that they have two equal roots.
we know, quadratic equation will be equal only when
discriminant, D = b² - 4ac = 0
on comparing 2x² + kx + 3 = 0 with general form of quadratic equation , ax² + bx + c = 0 we get, a = 2, b = k and c = 3
so Discriminant , D = (k)² - 4(2)(3) = 0
or, k² - 24 = 0
or, k = ± √24 = ±2√6
hence, the value of k = 2√6 or -2√6
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