What are the solutions to the equation X^2-3X-7=0 ?

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

Find the zeros of X^2-3X-7=0

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

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X^{2} - 3 X - 7 = 0

X = \frac{3 + 37}{2}, X = \frac{3 - 37}{2}

Decimal Notation

X = 4.54138 \dots, X = - 1.54138 \dots

Solution steps

X^{2} - 3 X - 7 = 0

Solve with the quadratic formula

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

(- 3)^{2} - 4 \cdot 1 \cdot (- 7) = 37

X_{1, 2} = \frac{- ( - 3 ) \pm 37}{2 \cdot 1}

Separate the solutions

X_{1} = \frac{- ( - 3 ) + 37}{2 \cdot 1}, X_{2} = \frac{- ( - 3 ) - 37}{2 \cdot 1}

X = \frac{- ( - 3 ) + 37}{2 \cdot 1} : \frac{3 + 37}{2}

X = \frac{- ( - 3 ) - 37}{2 \cdot 1} : \frac{3 - 37}{2}

The solutions to the quadratic equation are:

X = \frac{3 + 37}{2}, X = \frac{3 - 37}{2}

121 x^{2} - 132 x + 36 = 0

(n + 10) + 2 (n + 2) + (n + 4)^{2} = 1984

3 x^{2} - 8 x - 14 = 0

- y (5 - y) = 0

6 x^{2} = - 5 + 11 x

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