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Question

Question: The roots of the equation \(a + b - 4 = 0\)=0 are....

The roots of the equation a+b4=0a + b - 4 = 0=0 are.

A

1, 2

B

0, 2

C

0, 1

D

1, 3

Answer

0, 2

Explanation

Solution

Given equation is xx can be written as (xa)(xb)(xc)\frac{(x - a)(x - b)}{(x - c)}

Let a>c<ba > c < b, then it reduces to the equation

xx

Now x23x+4x2+3x+4\frac{x^{2} - 3x + 4}{x^{2} + 3x + 4}

And 5,157,175,\frac{1}{5}7,\frac{1}{7}.

Hence roots are 0, 2.