What are the solutions to the equation x^2-14x+21=0 ?

The solutions to the equation x^2-14x+21=0 are x=7+2sqrt(7),x=7-2sqrt(7)

Find the zeros of x^2-14x+21=0

The zeros of x^2-14x+21=0 are x=7+2sqrt(7),x=7-2sqrt(7)

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x^{2} - 14 x + 21 = 0

x = 7 + 27, x = 7 - 27

Decimal Notation

x = 12.29150 \dots, x = 1.70849 \dots

Solution steps

x^{2} - 14 x + 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 1 \cdot 21}{2 \cdot 1}

(- 14)^{2} - 4 \cdot 1 \cdot 21 = 47

x_{1, 2} = \frac{- ( - 14 ) \pm 4 7}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 4 7}{2 \cdot 1}, x_{2} = \frac{- ( - 14 ) - 4 7}{2 \cdot 1}

x = \frac{- ( - 14 ) + 4 7}{2 \cdot 1} : 7 + 27

x = \frac{- ( - 14 ) - 4 7}{2 \cdot 1} : 7 - 27

The solutions to the quadratic equation are:

x = 7 + 27, x = 7 - 27

x, x^{2} + y^{2} = 2 a y

0 = - 0.6 (x - 2.5)^{2} + 8.75

0.5 x^{2} + 5 x - 100 = 0

0 = \frac{1}{4} (8 x - x^{2})

x^{2} + 3 x + 2 = 0

What are the solutions to the equation x^2-14x+21=0 ?
The solutions to the equation x^2-14x+21=0 are x=7+2sqrt(7),x=7-2sqrt(7)
Find the zeros of x^2-14x+21=0
The zeros of x^2-14x+21=0 are x=7+2sqrt(7),x=7-2sqrt(7)