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# The quadratic x^2 +5x + c has roots

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The quadratic x^2 +5x + c has roots in the form of x = (-5 +/- sqrt(2c + 3))/2.  What is the value of c?

Nov 2, 2020

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The quadratic x^2 +5x + c has roots in the form of x = (-5 +/- sqrt(2c + 3))/2.  What is the value of c?

$$ax^2+bx+c = x^2 +5x + c$$      so what do you know so far.

$$x = {-b \pm \sqrt{b^2-4ac} \over 2a} = {-5 \pm \sqrt{2c+3} \over 2}$$

Do some substitutions and finish it.

Nov 2, 2020