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