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 :

Question

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) 6, 1 (B) 4, 3 (C) -6 , -1 (D) -4 , -3

Tardigrade Admin · Accepted Answer

Let the correct equation be ax2 + bx + c = 0 -(b/a) = 7 ........ (i) (c/a) = 6 ........ (ii) from (i) and (ii) correct equation is x2 - 7x + 6 = 0 roots are 6 and 1

Q. 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 :

6, 1

4, 3

-6 , -1

-4 , -3

Let the correct equation be $a x^{2} + b x + c = 0$
$- \frac{b}{a} = 7 ........ (i)$
$\frac{c}{a} = 6 ........ (ii)$
from $(i)$ and $(ii)$
correct equation is
$x^{2} - 7 x + 6 = 0$
roots are 6 and 1

Q. 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 :

6, 1

4, 3

-6 , -1

-4 , -3

Let the correct equation be ax2+bx+c=0 −ab​=7........(i) ac​=6........(ii) from (i) and (ii) correct equation is x2−7x+6=0 roots are 6 and 1

Let the correct equation be $a x^{2} + b x + c = 0$
$- \frac{b}{a} = 7 ........ (i)$
$\frac{c}{a} = 6 ........ (ii)$
from $(i)$ and $(ii)$
correct equation is
$x^{2} - 7 x + 6 = 0$
roots are 6 and 1