What are the solutions to the equation t^2-2/9 t-17/63 =0 ?

The solutions to the equation t^2-2/9 t-17/63 =0 are t=(7+4sqrt(70))/(63),t=(7-4sqrt(70))/(63)

Find the zeros of t^2-2/9 t-17/63 =0

The zeros of t^2-2/9 t-17/63 =0 are t=(7+4sqrt(70))/(63),t=(7-4sqrt(70))/(63)

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t^{2} - \frac{2}{9} t - \frac{17}{63} = 0

t = \frac{7 + 4 70}{63}, t = \frac{7 - 4 70}{63}

Decimal Notation

t = 0.64232 \dots, t = - 0.42010 \dots

Solution steps

t^{2} - \frac{2}{9} t - \frac{17}{63} = 0

Find Least Common Multiplier of

9, 63 : 63

Multiply by LCM=

63

t^{2} \cdot 63 - \frac{2}{9} t \cdot 63 - \frac{17}{63} \cdot 63 = 0 \cdot 63

Simplify

63 t^{2} - 14 t - 17 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 63 ( - 17 )}{2 \cdot 63}

(- 14)^{2} - 4 \cdot 63 (- 17) = 870

t_{1, 2} = \frac{- ( - 14 ) \pm 8 70}{2 \cdot 63}

Separate the solutions

t_{1} = \frac{- ( - 14 ) + 8 70}{2 \cdot 63}, t_{2} = \frac{- ( - 14 ) - 8 70}{2 \cdot 63}

t = \frac{- ( - 14 ) + 8 70}{2 \cdot 63} : \frac{7 + 4 70}{63}

t = \frac{- ( - 14 ) - 8 70}{2 \cdot 63} : \frac{7 - 4 70}{63}

The solutions to the quadratic equation are:

t = \frac{7 + 4 70}{63}, t = \frac{7 - 4 70}{63}

t^{2} + 49 = - 14 t

9 x^{2} - 4 x + 3 = 0

8 x^{2} + 5 = 35

3 x^{(2)} + 15 x - 18 = 0

3 x^{2} - 50 x

What are the solutions to the equation t^2-2/9 t-17/63 =0 ?
The solutions to the equation t^2-2/9 t-17/63 =0 are t=(7+4sqrt(70))/(63),t=(7-4sqrt(70))/(63)
Find the zeros of t^2-2/9 t-17/63 =0
The zeros of t^2-2/9 t-17/63 =0 are t=(7+4sqrt(70))/(63),t=(7-4sqrt(70))/(63)