What are the solutions to the equation x^2-8x+16=11 ?

The solutions to the equation x^2-8x+16=11 are x=4+sqrt(11),x=4-sqrt(11)

Find the zeros of x^2-8x+16=11

The zeros of x^2-8x+16=11 are x=4+sqrt(11),x=4-sqrt(11)

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x^{2} - 8 x + 16 = 11

x = 4 + 11, x = 4 - 11

Decimal Notation

x = 7.31662 \dots, x = 0.68337 \dots

Solution steps

x^{2} - 8 x + 16 = 11

Move

11

to the left side

x^{2} - 8 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot 5}{2 \cdot 1}

(- 8)^{2} - 4 \cdot 1 \cdot 5 = 211

x_{1, 2} = \frac{- ( - 8 ) \pm 2 11}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 11}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 2 11}{2 \cdot 1}

x = \frac{- ( - 8 ) + 2 11}{2 \cdot 1} : 4 + 11

x = \frac{- ( - 8 ) - 2 11}{2 \cdot 1} : 4 - 11

The solutions to the quadratic equation are:

x = 4 + 11, x = 4 - 11

\frac{2 + i}{i}

P (x) + R (x)

0.0225

\frac{\frac{1}{2} + \frac{1}{3}}{\frac{1}{2} - \frac{1}{3}}

12 m^{2} - 5 m - 2

What are the solutions to the equation x^2-8x+16=11 ?
The solutions to the equation x^2-8x+16=11 are x=4+sqrt(11),x=4-sqrt(11)
Find the zeros of x^2-8x+16=11
The zeros of x^2-8x+16=11 are x=4+sqrt(11),x=4-sqrt(11)