which of the quadratic equation has roots -3 and -5 .
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Solution :
We know that if a and b be the roots of any quadratic equation, then the required equation be
(x - a) (x - b) = 0
⇒ x² - (a + b) x + ab = 0
The roots are 3 and 5 for the required quadratic equation and hence the required equation be
x² - (3 + 5) x + (3 * 5) = 0
⇒ x² - 8x + 15 = 0
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