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Suppose that the function f(x) and g(x) satisfy the system of equations `f(x)+3g(x)=x^(2)+x+6` and `2f(x)+4g(x)=2x^(2)+4` for every x. The value of `x` for which `f(x)=g(x)` can be equal toA. `-2`B. `2`C. `-5`D. `5` |
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Answer» Correct Answer - A::D `f(x)+3g(x)=x^(2)+x+6` ..(i) `2f(x)+4g(x)=2x^(2)+4` .(ii) (i). `X2-(ii)implies2g(x)=2x+8` `g(x)=x+4` `impliesf(x)=x^(2)+x+6-3g(x)` `=x^(2)+x+6-3(x+4)` `=x^(2)-2x-6` `f(x)=g(x)impliesx+4=x^(2)-2x-6` `impliesx^(2)-3x-10=0` `(x-5)(x+2)=0` `impliesx-2,5` |
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