What are the solutions to the equation x(x+30)=300 ?

The solutions to the equation x(x+30)=300 are x=5(sqrt(21)-3),x=-5(3+sqrt(21))

Find the zeros of x(x+30)=300

The zeros of x(x+30)=300 are x=5(sqrt(21)-3),x=-5(3+sqrt(21))

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x (x + 30) = 300

x = 5 (21 - 3), x = - 5 (3 + 21)

Decimal Notation

x = 7.91287 \dots, x = - 37.91287 \dots

Solution steps

x (x + 30) = 300

Expand

x (x + 30) : x^{2} + 30 x

x^{2} + 30 x = 300

Move

300

to the left side

x^{2} + 30 x - 300 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 1 \cdot ( - 300 )}{2 \cdot 1}

3 0^{2} - 4 \cdot 1 \cdot (- 300) = 1021

x_{1, 2} = \frac{- 30 \pm 10 21}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 30 + 10 21}{2 \cdot 1}, x_{2} = \frac{- 30 - 10 21}{2 \cdot 1}

x = \frac{- 30 + 10 21}{2 \cdot 1} : 5 (21 - 3)

x = \frac{- 30 - 10 21}{2 \cdot 1} : - 5 (3 + 21)

The solutions to the quadratic equation are:

x = 5 (21 - 3), x = - 5 (3 + 21)

60 - d = 82

\frac{4}{5} + \frac{4}{5}

\frac{- 5000}{( 500 ) ( 0.11 )}

\frac{2 x + 7}{3} = 5

What are the solutions to the equation x(x+30)=300 ?
The solutions to the equation x(x+30)=300 are x=5(sqrt(21)-3),x=-5(3+sqrt(21))
Find the zeros of x(x+30)=300
The zeros of x(x+30)=300 are x=5(sqrt(21)-3),x=-5(3+sqrt(21))