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受欢迎的代数 >

solvefor t,tP=-t^2+17t+190

解答

求解

t, tP = - t^{2} + 17 t + 190

解答

t = - \frac{- 17 + P + P ^{2} - 34 P + 1049}{2}, t = - \frac{- 17 + P - P ^{2} - 34 P + 1049}{2}

求解步骤

tP = - t^{2} + 17 t + 190

交换两边

- t^{2} + 17 t + 190 = tP

将

tP

para o lado esquerdo

- t^{2} + 17 t + 190 - tP = 0

改写成标准形式

a x^{2} + b x + c = 0

- t^{2} + (17 - P) t + 190 = 0

使用求根公式求解

t_{1, 2} = \frac{- ( 17 - P ) \pm ( 17 - P ) ^{2} - 4 ( - 1 ) \cdot 190}{2 ( - 1 )}

化简

(17 - P)^{2} - 4 (- 1) \cdot 190 : P^{2} - 34 P + 1049

t_{1, 2} = \frac{- ( 17 - P ) \pm P ^{2} - 34 P + 1049}{2 ( - 1 )}

将解分隔开

t_{1} = \frac{- ( 17 - P ) + P ^{2} - 34 P + 1049}{2 ( - 1 )}, t_{2} = \frac{- ( 17 - P ) - P ^{2} - 34 P + 1049}{2 ( - 1 )}

t = \frac{- ( 17 - P ) + P ^{2} - 34 P + 1049}{2 ( - 1 )} : - \frac{- 17 + P + P ^{2} - 34 P + 1049}{2}

t = \frac{- ( 17 - P ) - P ^{2} - 34 P + 1049}{2 ( - 1 )} : - \frac{- 17 + P - P ^{2} - 34 P + 1049}{2}

二次方程组的解是:

t = - \frac{- 17 + P + P ^{2} - 34 P + 1049}{2}, t = - \frac{- 17 + P - P ^{2} - 34 P + 1049}{2}

作图

流行的例子

quadraticformula 2+3x-4x^2=0

q u a d r a t i c f or m u l a 2 + 3 x - 4 x^{2} = 0

因式分解 x^2+7x-30=0

f a c t or x^{2} + 7 x - 30 = 0

solvefor x,s(x)=(x^2-2x-1)-(-2x^2-7x+12)

so l v e f or x, s (x) = (x^{2} - 2 x - 1) - (- 2 x^{2} - 7 x + 12)

solvefor x,x^2+5=0

so l v e f or x, x^{2} + 5 = 0

8 x^{2} - 64 x + 281 = 0