What are the solutions to the equation 1/2 x^2-7x+7=0 ?

The solutions to the equation 1/2 x^2-7x+7=0 are x=7+sqrt(35),x=7-sqrt(35)

Find the zeros of 1/2 x^2-7x+7=0

The zeros of 1/2 x^2-7x+7=0 are x=7+sqrt(35),x=7-sqrt(35)

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\frac{1}{2} x^{2} - 7 x + 7 = 0

x = 7 + 35, x = 7 - 35

Decimal Notation

x = 12.91607 \dots, x = 1.08392 \dots

Solution steps

\frac{1}{2} x^{2} - 7 x + 7 = 0

Multiply both sides by

2

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

Solve with the quadratic formula

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

(- 14)^{2} - 4 \cdot 1 \cdot 14 = 235

x_{1, 2} = \frac{- ( - 14 ) \pm 2 35}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 2 35}{2 \cdot 1}, x_{2} = \frac{- ( - 14 ) - 2 35}{2 \cdot 1}

x = \frac{- ( - 14 ) + 2 35}{2 \cdot 1} : 7 + 35

x = \frac{- ( - 14 ) - 2 35}{2 \cdot 1} : 7 - 35

The solutions to the quadratic equation are:

x = 7 + 35, x = 7 - 35

x^{2} - a x + 1 = 0

4 x - 3 = - 12 x^{2}

6 x^{2} = 5 x - 3

5^{2} = 3^{2} + b^{2}

(x - 6)^{2} - 32 = 0

What are the solutions to the equation 1/2 x^2-7x+7=0 ?
The solutions to the equation 1/2 x^2-7x+7=0 are x=7+sqrt(35),x=7-sqrt(35)
Find the zeros of 1/2 x^2-7x+7=0
The zeros of 1/2 x^2-7x+7=0 are x=7+sqrt(35),x=7-sqrt(35)