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受欢迎的代数 >

y^2=18y+18

解答

y^{2} = 18 y + 18

解答

y = 3 (3 + 11), y = 3 (3 - 11)

+1

十进制

y = 18.94987 \dots, y = - 0.94987 \dots

求解步骤

y^{2} = 18 y + 18

将

18

para o lado esquerdo

y^{2} - 18 = 18 y

将

18 y

para o lado esquerdo

y^{2} - 18 - 18 y = 0

改写成标准形式

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

y^{2} - 18 y - 18 = 0

使用求根公式求解

y_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot ( - 18 )}{2 \cdot 1}

(- 18)^{2} - 4 \cdot 1 \cdot (- 18) = 611

y_{1, 2} = \frac{- ( - 18 ) \pm 6 11}{2 \cdot 1}

将解分隔开

y_{1} = \frac{- ( - 18 ) + 6 11}{2 \cdot 1}, y_{2} = \frac{- ( - 18 ) - 6 11}{2 \cdot 1}

y = \frac{- ( - 18 ) + 6 11}{2 \cdot 1} : 3 (3 + 11)

y = \frac{- ( - 18 ) - 6 11}{2 \cdot 1} : 3 (3 - 11)

二次方程组的解是:

y = 3 (3 + 11), y = 3 (3 - 11)

作图

流行的例子

7 v^{2} = - 35 v + 168

solvefor x,x^2=(4R)/3 (2R-(4R)/3)

so l v e f or x, x^{2} = \frac{4 R}{3} (2 R - \frac{4 R}{3})

u^{2} - 4 u = 12

x^{2} = 0.9

solvefor x,x^2+y^2+z^2-4y-6z+13=0

so l v e f or x, x^{2} + y^{2} + z^{2} - 4 y - 6 z + 13 = 0