Latest self Aptitude Question SOLUTION: 1 of the two students,while solving Q.E in x,copied the constant term incorrectly and got the roots 3 and 2.The other copied the constant term and coefficient of x square correctly

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(#M40030436) SELF question Quadratic Equations Keep an EYE

1 of the two students,while solving Q.E in x,copied the constant term incorrectly and got the roots 3 and 2.The other copied the constant term and coefficient of x square correctly as -6 and 1 resp.The correct Roots are:
option
a. 3,-2
b. -3,2
c. -6,-1
d. 6,-1.

Smriti Tolay (11 years ago)

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Mahesh  (11 years ago)

The roots obtained by the first person are 3 and 2, so the equation solved by the first person is (x-3)(x-2)=0 that is x^2 -5x + 6 = 0.
We know that only the constant term is wrong in the first person's case.
So, the co-effecient of x square term is 1 and that of x term is -5.
From the case of the second person, the correct constant term is -6.

So, the equation is x^2-5x-6=0
This can be written as x^2-6x+x-6=0; x(x-6) +1(x-6)= 0;
That is (x-6)(x+1) = 0 which implies, x=6 or -1
So, the roots of the equation are 6 and -1
Answer is 6 and -1
Correct choice is D

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