What are the solutions to the equation completesquare 20t^2-24t+65 ?

The solutions to the equation completesquare 20t^2-24t+65 are 20(t-3/5)^2+289/5

Find the zeros of completesquare 20t^2-24t+65

The zeros of completesquare 20t^2-24t+65 are 20(t-3/5)^2+289/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

20 t^{2} - 24 t + 65

20 (t - \frac{3}{5})^{2} + \frac{289}{5}

Solution steps

20 t^{2} - 24 t + 65

Write

20 t^{2} - 24 t + 65

in the form:

x^{2} + 2 a x + a^{2}

Factor out

20

20 (t^{2} - \frac{6 t}{5} + \frac{13}{4})

2 a = - \frac{6}{5} : a = - \frac{3}{5}

Add and subtract

(- \frac{3}{5})^{2}

20 (t^{2} - \frac{6 t}{5} + \frac{13}{4} + (- \frac{3}{5})^{2} - (- \frac{3}{5})^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

t^{2} - \frac{6}{5} t + (- \frac{3}{5})^{2} = (t - \frac{3}{5})^{2}

20 ((t - \frac{3}{5})^{2} + \frac{13}{4} - (- \frac{3}{5})^{2})

Simplify

20 (t - \frac{3}{5})^{2} + \frac{289}{5}

4 X^{2} - 42 X = 7 X - 12

120 n^{2} - 328 n = - 224

3 s^{2} + 6 s + 2 = 0

4 5^{2} + 6 0^{2} = x^{2}

- \frac{2}{3} (x - 1) (x + 3) = 0

What are the solutions to the equation completesquare 20t^2-24t+65 ?
The solutions to the equation completesquare 20t^2-24t+65 are 20(t-3/5)^2+289/5
Find the zeros of completesquare 20t^2-24t+65
The zeros of completesquare 20t^2-24t+65 are 20(t-3/5)^2+289/5