To solve the quadratic equation of the form ax² +bx+c=0 . A first student take the co ordinate if x is wrong and get solution (9,4).A second student keep wrong value of constant term and get the solution of same equation is (16,4).If the answare of both student are wrong then find the correct equation and correct solution.
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Viete's formula for the roots and of equation : AND .
John made a mistake while copying the constant term and got the roots as 5 and 9 so he copied coefficient of x and x^2 correctly: ;
Jane made a mistake in the coefficient of x and she got the roots as 12 and 4 so she copied the constant term and the coefficient of x^2 correctly: ;
Only option C satisfies the above conditions : and (any of the condition would be sufficient).
Answer: C.
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