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受欢迎的代数 >

x^2-10x+25=144

解答

x^{2} - 10 x + 25 = 144

解答

x = 17, x = - 7

求解步骤

x^{2} - 10 x + 25 = 144

将

144

para o lado esquerdo

x^{2} - 10 x - 119 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot ( - 119 )}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot (- 119) = 24

x_{1, 2} = \frac{- ( - 10 ) \pm 24}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 10 ) + 24}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 24}{2 \cdot 1}

x = \frac{- ( - 10 ) + 24}{2 \cdot 1} : 17

x = \frac{- ( - 10 ) - 24}{2 \cdot 1} : - 7

二次方程组的解是:

x = 17, x = - 7

作图

流行的例子

solvefor x,-11x^2+132x+17y^2-136y-124=0

so l v e f or x, - 11 x^{2} + 132 x + 17 y^{2} - 136 y - 124 = 0

(2x-7)^2=(x-4)^2+(2x+3)(2x-5)

(2 x - 7)^{2} = (x - 4)^{2} + (2 x + 3) (2 x - 5)

(x - 4)^{2} = - 25

X^{2} + 2 X + 1 = 0

x^{2} + x + 15 = 0