Question

Find the nature of the roots of the equation ax²+bx+c =0 when b=a + c
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Answer 1

Answer:

➡️Let k be one of the root of the given equation.

➡️According to the problem,

➡️1/k will be the other root of the given equation.

➡️We know that, product of the roots of the

➡️equation = c/a.

➡️Therefore, k x 1/k = c/a.

➡️or, 1 = c/a.

➡️or, a = c[multiplying a on both sides).

➡️The roots of the equation ax2 + bx + c = 0 will bereciprocal if a = c.

➡️when b=a+c