What are the solutions to the equation 5.05=0.02t^2-0.6t+9.18 ?

The solutions to the equation 5.05=0.02t^2-0.6t+9.18 are t=(30+sqrt(74))/2 ,t=(30-sqrt(74))/2

Find the zeros of 5.05=0.02t^2-0.6t+9.18

The zeros of 5.05=0.02t^2-0.6t+9.18 are t=(30+sqrt(74))/2 ,t=(30-sqrt(74))/2

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5.05 = 0.02 t^{2} - 0.6 t + 9.18

t = \frac{30 + 74}{2}, t = \frac{30 - 74}{2}

Decimal Notation

t = 19.30116 \dots, t = 10.69883 \dots

Solution steps

5.05 = 0.02 t^{2} - 0.6 t + 9.18

Multiply both sides by

100

505 = 2 t^{2} - 60 t + 918

Switch sides

2 t^{2} - 60 t + 918 = 505

Move

505

to the left side

2 t^{2} - 60 t + 413 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 2 \cdot 413}{2 \cdot 2}

(- 60)^{2} - 4 \cdot 2 \cdot 413 = 274

t_{1, 2} = \frac{- ( - 60 ) \pm 2 74}{2 \cdot 2}

Separate the solutions

t_{1} = \frac{- ( - 60 ) + 2 74}{2 \cdot 2}, t_{2} = \frac{- ( - 60 ) - 2 74}{2 \cdot 2}

t = \frac{- ( - 60 ) + 2 74}{2 \cdot 2} : \frac{30 + 74}{2}

t = \frac{- ( - 60 ) - 2 74}{2 \cdot 2} : \frac{30 - 74}{2}

The solutions to the quadratic equation are:

t = \frac{30 + 74}{2}, t = \frac{30 - 74}{2}

∣ 6 x - 12 ∣ < 42

2 x + 16 = - 16

lo g_{6} (36) = 5 x + 3

9 8^{2}

x^{4} - x^{3} - 6 x^{2}

What are the solutions to the equation 5.05=0.02t^2-0.6t+9.18 ?
The solutions to the equation 5.05=0.02t^2-0.6t+9.18 are t=(30+sqrt(74))/2 ,t=(30-sqrt(74))/2
Find the zeros of 5.05=0.02t^2-0.6t+9.18
The zeros of 5.05=0.02t^2-0.6t+9.18 are t=(30+sqrt(74))/2 ,t=(30-sqrt(74))/2