What are the solutions to the equation 2q^2-44q=-14 ?

The solutions to the equation 2q^2-44q=-14 are q=11+sqrt(114),q=11-sqrt(114)

Find the zeros of 2q^2-44q=-14

The zeros of 2q^2-44q=-14 are q=11+sqrt(114),q=11-sqrt(114)

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2 q^{2} - 44 q = - 14

q = 11 + 114, q = 11 - 114

Decimal

q = 21.67707 \dots, q = 0.32292 \dots

Solution steps

2 q^{2} - 44 q = - 14

Move

14

to the left side

2 q^{2} - 44 q + 14 = 0

Solve with the quadratic formula

q_{1, 2} = \frac{- ( - 44 ) \pm ( - 44 ) ^{2} - 4 \cdot 2 \cdot 14}{2 \cdot 2}

(- 44)^{2} - 4 \cdot 2 \cdot 14 = 4114

q_{1, 2} = \frac{- ( - 44 ) \pm 4 114}{2 \cdot 2}

Separate the solutions

q_{1} = \frac{- ( - 44 ) + 4 114}{2 \cdot 2}, q_{2} = \frac{- ( - 44 ) - 4 114}{2 \cdot 2}

q = \frac{- ( - 44 ) + 4 114}{2 \cdot 2} : 11 + 114

q = \frac{- ( - 44 ) - 4 114}{2 \cdot 2} : 11 - 114

The solutions to the quadratic equation are:

q = 11 + 114, q = 11 - 114

4 - 36 x^{2} = 0

2 x^{2} - 1 = 17

x^{2} - 0.025 \cdot x - 0.075 = 0

9 x^{2} - 420 x + 3510 = 0

x^{2} + 3 x - 5

What are the solutions to the equation 2q^2-44q=-14 ?
The solutions to the equation 2q^2-44q=-14 are q=11+sqrt(114),q=11-sqrt(114)
Find the zeros of 2q^2-44q=-14
The zeros of 2q^2-44q=-14 are q=11+sqrt(114),q=11-sqrt(114)