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受欢迎的代数 >

-7a^2+10a-15=-5

解答

- 7 a^{2} + 10 a - 15 = - 5

解答

a = \frac{5}{7} - i \frac{3 5}{7}, a = \frac{5}{7} + i \frac{3 5}{7}

求解步骤

- 7 a^{2} + 10 a - 15 = - 5

将

5

para o lado esquerdo

- 7 a^{2} + 10 a - 10 = 0

使用求根公式求解

a_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 ( - 7 ) ( - 10 )}{2 ( - 7 )}

化简

1 0^{2} - 4 (- 7) (- 10) : 65 i

a_{1, 2} = \frac{- 10 \pm 6 5 i}{2 ( - 7 )}

将解分隔开

a_{1} = \frac{- 10 + 6 5 i}{2 ( - 7 )}, a_{2} = \frac{- 10 - 6 5 i}{2 ( - 7 )}

a = \frac{- 10 + 6 5 i}{2 ( - 7 )} : \frac{5}{7} - i \frac{3 5}{7}

a = \frac{- 10 - 6 5 i}{2 ( - 7 )} : \frac{5}{7} + i \frac{3 5}{7}

二次方程组的解是:

a = \frac{5}{7} - i \frac{3 5}{7}, a = \frac{5}{7} + i \frac{3 5}{7}

作图

流行的例子

x^{2} + 4 x - 8 = 4

因式分解 x^2+2x-35=0

f a c t or x^{2} + 2 x - 35 = 0

solvefor y,(3xy+7)^2=6y

so l v e f or y, (3 x y + 7)^{2} = 6 y

quadraticformula x^2-2x+2=0

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

quadraticformula x^2-2x+3=0

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