If x (5 + x )is equal to 40 then find x ​

Answers (1)

 x (5 + x ) = 40

x2 + 5x - 40 =0 

x^2 + 5x - 40 =0 \\ $ Compare with $ ax^2 +bx +c =0 \\ $a = 1, b=5, c= -40 $ \\ x = \frac{-b\pm \sqrt{b^2 -4ac}}{2a } \\\\ x = \frac{-5\pm \sqrt{(5)^2 -4 \times 1 \times (-40)}}{2 \times 1 } \\\\ x = \frac{-5\pm \sqrt{25+ 160}}{2 } \\\\ x = \frac{-5+ \sqrt{185}}{2 }, \ or \ x = \frac{-5 - \sqrt{185}}{2 } \\\\ 

 

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