What are the solutions to the equation 30=0.2t^2-5.6t+50.2 ?

The solutions to the equation 30=0.2t^2-5.6t+50.2 are t=14+sqrt(95),t=14-sqrt(95)

Find the zeros of 30=0.2t^2-5.6t+50.2

The zeros of 30=0.2t^2-5.6t+50.2 are t=14+sqrt(95),t=14-sqrt(95)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

30 = 0.2 t^{2} - 5.6 t + 50.2

t = 14 + 95, t = 14 - 95

Decimal Notation

t = 23.74679 \dots, t = 4.25320 \dots

Solution steps

30 = 0.2 t^{2} - 5.6 t + 50.2

Multiply both sides by

10

300 = 2 t^{2} - 56 t + 502

Switch sides

2 t^{2} - 56 t + 502 = 300

Move

300

to the left side

2 t^{2} - 56 t + 202 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- ( - 56 ) \pm ( - 56 ) ^{2} - 4 \cdot 2 \cdot 202}{2 \cdot 2}

(- 56)^{2} - 4 \cdot 2 \cdot 202 = 495

t_{1, 2} = \frac{- ( - 56 ) \pm 4 95}{2 \cdot 2}

Separate the solutions

t_{1} = \frac{- ( - 56 ) + 4 95}{2 \cdot 2}, t_{2} = \frac{- ( - 56 ) - 4 95}{2 \cdot 2}

t = \frac{- ( - 56 ) + 4 95}{2 \cdot 2} : 14 + 95

t = \frac{- ( - 56 ) - 4 95}{2 \cdot 2} : 14 - 95

The solutions to the quadratic equation are:

t = 14 + 95, t = 14 - 95

a^{2} + 20 a - 24 = - 2

0 \leq 2 n + 3 n

(- \frac{5}{6})^{2}

0 = x^{2} + 2 x - 15

5 x^{2} + 7 x \leq 6

What are the solutions to the equation 30=0.2t^2-5.6t+50.2 ?
The solutions to the equation 30=0.2t^2-5.6t+50.2 are t=14+sqrt(95),t=14-sqrt(95)
Find the zeros of 30=0.2t^2-5.6t+50.2
The zeros of 30=0.2t^2-5.6t+50.2 are t=14+sqrt(95),t=14-sqrt(95)