# When three times a number is added to the square of the same number, the result is 70. What is the number?

$Let\;the\;number\;be\;x\\*Now,\\*\Rightarrow 3x+x^2=70\\*\Rightarrow x^2+ 3x-70=0\\*\Rightarrow x^2+10x-7x-70=0\\*\Rightarrow x(x+10)-7(x+10)=0\\* \Rightarrow (x+10)(x-7)=0\\*\Rightarrow x=-10\;or\;x=7\\*$

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