Finding for interval of m in quadratic equation.

Find the interval in which 'm' lies so that the expression

can take all real values ,where x is real.

i have equated this equation to y

then

but then it becomes quadratic equation in many variables .

please give hint or steps to solve the problem

Re: Finding for interval of m in quadratic equation.

For all , numerator and denominator belong to . You only need to study for which values of there exists such that . For those values of the quotient is not defined for all .

Re: Finding for interval of m in quadratic equation.

Quote:

Originally Posted by

**FernandoRevilla** . You only need to study for which values of

there exists

such that

.

how to find m

should i equate D=0 or -D/4a=0???

Re: Finding for interval of m in quadratic equation.

Re: Finding for interval of m in quadratic equation.

the final answer is m [1,7]

Re: Finding for interval of m in quadratic equation.

Quote:

Originally Posted by

**sumedh** the final answer is m

[1,7]

.

Re: Finding for interval of m in quadratic equation.

Then the question might be wrong

Thank you very much for your help and the valuable time you spared for me.