What are the solutions to the equation 7d^2-11d+4=4d^2 ?

The solutions to the equation 7d^2-11d+4=4d^2 are d=(11+sqrt(73))/6 ,d=(11-sqrt(73))/6

Find the zeros of 7d^2-11d+4=4d^2

The zeros of 7d^2-11d+4=4d^2 are d=(11+sqrt(73))/6 ,d=(11-sqrt(73))/6

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7 d^{2} - 11 d + 4 = 4 d^{2}

d = \frac{11 + 73}{6}, d = \frac{11 - 73}{6}

Solution steps

7 d^{2} - 11 d + 4 = 4 d^{2}

Move

4 d^{2}

to the left side

3 d^{2} - 11 d + 4 = 0

Solve with the quadratic formula

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

(- 11)^{2} - 4 \cdot 3 \cdot 4 = 73

d_{1, 2} = \frac{- ( - 11 ) \pm 73}{2 \cdot 3}

Separate the solutions

d_{1} = \frac{- ( - 11 ) + 73}{2 \cdot 3}, d_{2} = \frac{- ( - 11 ) - 73}{2 \cdot 3}

d = \frac{- ( - 11 ) + 73}{2 \cdot 3} : \frac{11 + 73}{6}

d = \frac{- ( - 11 ) - 73}{2 \cdot 3} : \frac{11 - 73}{6}

The solutions to the quadratic equation are:

d = \frac{11 + 73}{6}, d = \frac{11 - 73}{6}

x^{2} - 2 - x = 0

x^{2} - 21 x + 7 = 0

9 x^{2} + 6 = 0

4 x^{2} - 8 x + 12 = 0

2 x^{2} - 9 = 55

What are the solutions to the equation 7d^2-11d+4=4d^2 ?
The solutions to the equation 7d^2-11d+4=4d^2 are d=(11+sqrt(73))/6 ,d=(11-sqrt(73))/6
Find the zeros of 7d^2-11d+4=4d^2
The zeros of 7d^2-11d+4=4d^2 are d=(11+sqrt(73))/6 ,d=(11-sqrt(73))/6