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# help algebra

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If (2x+5)(x-3)=14 + x^2 - 7x, find the sum of the possible values of $x$.

Aug 23, 2021

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If (2x+5)(x-3)=14 + x^2 - 7x, find the sum of the possible values of x.

Hello Guest!

$$(2x+5)(x-3)=14 + x^2 - 7x\\ 2x^2-6x+5x-15-14-x^2+7x=0\\ x^2+6x-29=0$$

$$x=3\pm \sqrt{9+29}\\ x=3\pm \sqrt{38}$$

$$x_1=3+\sqrt{38}\\ x_2=3-\sqrt{38}$$

$$x_1+x_2=6$$

!

Aug 23, 2021