What are the solutions to the equation 7x^2-11x+3=0 ?

The solutions to the equation 7x^2-11x+3=0 are x=(11+sqrt(37))/(14),x=(11-sqrt(37))/(14)

Find the zeros of 7x^2-11x+3=0

The zeros of 7x^2-11x+3=0 are x=(11+sqrt(37))/(14),x=(11-sqrt(37))/(14)

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7 x^{2} - 11 x + 3 = 0

x = \frac{11 + 37}{14}, x = \frac{11 - 37}{14}

Decimal Notation

x = 1.22019 \dots, x = 0.35123 \dots

Solution steps

7 x^{2} - 11 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 7 \cdot 3}{2 \cdot 7}

(- 11)^{2} - 4 \cdot 7 \cdot 3 = 37

x_{1, 2} = \frac{- ( - 11 ) \pm 37}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 37}{2 \cdot 7}, x_{2} = \frac{- ( - 11 ) - 37}{2 \cdot 7}

x = \frac{- ( - 11 ) + 37}{2 \cdot 7} : \frac{11 + 37}{14}

x = \frac{- ( - 11 ) - 37}{2 \cdot 7} : \frac{11 - 37}{14}

The solutions to the quadratic equation are:

x = \frac{11 + 37}{14}, x = \frac{11 - 37}{14}

4 = a^{2} + 3 a

x^{2} = 2 5^{2} + 7^{2}

144 = x^{2} - 52

(50 - 2 x) (80 - 2 x) = 2000

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

What are the solutions to the equation 7x^2-11x+3=0 ?
The solutions to the equation 7x^2-11x+3=0 are x=(11+sqrt(37))/(14),x=(11-sqrt(37))/(14)
Find the zeros of 7x^2-11x+3=0
The zeros of 7x^2-11x+3=0 are x=(11+sqrt(37))/(14),x=(11-sqrt(37))/(14)