1 Find the values of K for which the quadratic equation X2+5 x + 25 =0 has equal roots?​

1 Find the values of K for which the quadratic equation X2+5 x + 25 =0 has equal roots?​

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  1. Answer: K = ±2

    Step-by-step explanation:

    Given equation : x²+5kx+25

    Since the equation have equal roots.

    So,

    b²-4ac = 0

    => (5k)²- 4*1*25 = 0

    => 25K²-100 = 0

    => 25K²= 100

    => K² = 100/25

    => K = ±√4 = ±2

    Hence the value of K is ±2

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