-t^2+70t+460=1516

解

- t^{2} + 70 t + 460 = 1516

t = 22, t = 48

解答ステップ

- t^{2} + 70 t + 460 = 1516

1516

を左側に移動します

- t^{2} + 70 t - 1056 = 0

解くとthe二次式

t_{1, 2} = \frac{- 70 \pm 7 0 ^{2} - 4 ( - 1 ) ( - 1056 )}{2 ( - 1 )}

7 0^{2} - 4 (- 1) (- 1056) = 26

t_{1, 2} = \frac{- 70 \pm 26}{2 ( - 1 )}

解を分離する

t_{1} = \frac{- 70 + 26}{2 ( - 1 )}, t_{2} = \frac{- 70 - 26}{2 ( - 1 )}

t = \frac{- 70 + 26}{2 ( - 1 )} : 22

t = \frac{- 70 - 26}{2 ( - 1 )} : 48

二次equationの解:

t = 22, t = 48