What are the solutions to the equation r^2-4r=30 ?

The solutions to the equation r^2-4r=30 are r=2+sqrt(34),r=2-sqrt(34)

Find the zeros of r^2-4r=30

The zeros of r^2-4r=30 are r=2+sqrt(34),r=2-sqrt(34)

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r^{2} - 4 r = 30

r = 2 + 34, r = 2 - 34

Decimal Notation

r = 7.83095 \dots, r = - 3.83095 \dots

Solution steps

r^{2} - 4 r = 30

Move

30

to the left side

r^{2} - 4 r - 30 = 0

Solve with the quadratic formula

r_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 1 \cdot ( - 30 )}{2 \cdot 1}

(- 4)^{2} - 4 \cdot 1 \cdot (- 30) = 234

r_{1, 2} = \frac{- ( - 4 ) \pm 2 34}{2 \cdot 1}

Separate the solutions

r_{1} = \frac{- ( - 4 ) + 2 34}{2 \cdot 1}, r_{2} = \frac{- ( - 4 ) - 2 34}{2 \cdot 1}

r = \frac{- ( - 4 ) + 2 34}{2 \cdot 1} : 2 + 34

r = \frac{- ( - 4 ) - 2 34}{2 \cdot 1} : 2 - 34

The solutions to the quadratic equation are:

r = 2 + 34, r = 2 - 34

\frac{x - 5}{2} = \frac{2 x - 1}{7}

1 4^{2} + 8^{2} = c^{2}

49 x^{2} - 42 x + 9

N = 1000 e^{0.01 (4)}

(\frac{3}{2} x - 3) (4 x + 5) = 0

What are the solutions to the equation r^2-4r=30 ?
The solutions to the equation r^2-4r=30 are r=2+sqrt(34),r=2-sqrt(34)
Find the zeros of r^2-4r=30
The zeros of r^2-4r=30 are r=2+sqrt(34),r=2-sqrt(34)