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Question

Mathematics Question on Quadratic Equations

Sachin and Rahul attempted to solve a quadratic equaiton. Sachin made a mistake in writing down the constant term and ended up in roots (4, 3). Rahul made a mistake in writing down coefficient of x to get roots (3, 2). The correct roots of equation are :

A

44713

B

44654

C

-6 , -1

D

-4 , -3

Answer

44713

Explanation

Solution

Let the correct equation be ax2+bx+c=0ax^2 + bx + c = 0 ba=7........(i)-\frac{b}{a} = 7\quad\quad........ \left(i\right) ca=6........(ii)\frac{c}{a} = 6\quad\quad........ \left(ii\right) from (i)\left(i\right) and (ii)\left(ii\right) correct equation is x27x+6=0x^{2} - 7x + 6 = 0 roots are 6 and 1