What are the solutions to the equation x^2-16x=21 ?

The solutions to the equation x^2-16x=21 are x=8+sqrt(85),x=8-sqrt(85)

Find the zeros of x^2-16x=21

The zeros of x^2-16x=21 are x=8+sqrt(85),x=8-sqrt(85)

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x^{2} - 16 x = 21

x = 8 + 85, x = 8 - 85

Decimal Notation

x = 17.21954 \dots, x = - 1.21954 \dots

Solution steps

x^{2} - 16 x = 21

Move

21

to the left side

x^{2} - 16 x - 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot ( - 21 )}{2 \cdot 1}

(- 16)^{2} - 4 \cdot 1 \cdot (- 21) = 285

x_{1, 2} = \frac{- ( - 16 ) \pm 2 85}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 2 85}{2 \cdot 1}, x_{2} = \frac{- ( - 16 ) - 2 85}{2 \cdot 1}

x = \frac{- ( - 16 ) + 2 85}{2 \cdot 1} : 8 + 85

x = \frac{- ( - 16 ) - 2 85}{2 \cdot 1} : 8 - 85

The solutions to the quadratic equation are:

x = 8 + 85, x = 8 - 85

x^{2} - 16 x = 20

x, x^{2} + 4 y^{2} - 4 x + 6 y + 20 = 0

X, Y = 2 X^{2}

- 16 x^{2} = - 25

7 x + 3 x^{2} - 8 = - 1

What are the solutions to the equation x^2-16x=21 ?
The solutions to the equation x^2-16x=21 are x=8+sqrt(85),x=8-sqrt(85)
Find the zeros of x^2-16x=21
The zeros of x^2-16x=21 are x=8+sqrt(85),x=8-sqrt(85)