Question

solve x(x+5) =3x+5 simplify​

Answer 1

Given,

x(x+5) = 3x + 5

To get,

 

Solution,

x(x+5) = 3x + 5

x² + 5x = 3x + 5

x² + 5x - 3x = 5

x² + 2x = 5

x² + 2x - 5 = 0

Hence the answer is x² + 2x - 5 = 0

Answer 2

Answer:

$x = -1 + \sqrt{6}$ (or) x = $-1 - \sqrt{6}$

Step-by-step explanation:

x(x+5) = 3x + 5

x^2 + 5x = 3x + 5

x^2 + 5x - 3x - 5 = 0

x^2 + 2x - 5 = 0

Using Quadratic Formula,

a=1, b=2, c=-5

x = $\frac{-2 +\sqrt{2^2 - 4(1)(-5)} }{2(1)}$

x = $\frac{-2 + 2\sqrt{6} }{2}$

Separating the equations,

x = − 1  ±  $\sqrt{6}$

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