(x+3)^2=(x+2)^2+11 x^2+6x+9=x^2+4x+4+11 x^2+6x+9 x^2 4x 15=0 2x 6=0 2x=6 x=62=3 ...

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Quadratic Formula

Solve : x+32...

Question

Solve :
$(x + 3)^{2} = (x + 2)^{2} + 11$

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Solution

$(x + 3)^{2} = (x + 2)^{2} + 11 x^{2} + 6 x + 9 = x^{2} + 4 x + 4 + 11 x^{2} + 6 x + 9 - x^{2} - 4 x - 15 = 0 2 x - 6 = 0 2 x = 6 x = \frac{6}{2} = 3$

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