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受欢迎的代数 >

(((15-5x)/2)^2)+2.5(x)^2=27.5

解答

((\frac{15 - 5 x}{2})^{2}) + 2.5 (x)^{2} = 27.5

解答

x = \frac{23}{7}, x = 1

+1

十进制

x = 3.28571 \dots, x = 1

求解步骤

((\frac{15 - 5 x}{2})^{2}) + 2.5 x^{2} = 27.5

在两边乘以

10

\frac{5 ( - 5 x + 15 ) ^{2}}{2} + 25 x^{2} = 275

在两边乘以

2

5 (- 5 x + 15)^{2} + 50 x^{2} = 550

展开

5 (- 5 x + 15)^{2} + 50 x^{2} : 175 x^{2} - 750 x + 1125

175 x^{2} - 750 x + 1125 = 550

将

550

para o lado esquerdo

175 x^{2} - 750 x + 575 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 750 ) \pm ( - 750 ) ^{2} - 4 \cdot 175 \cdot 575}{2 \cdot 175}

(- 750)^{2} - 4 \cdot 175 \cdot 575 = 400

x_{1, 2} = \frac{- ( - 750 ) \pm 400}{2 \cdot 175}

将解分隔开

x_{1} = \frac{- ( - 750 ) + 400}{2 \cdot 175}, x_{2} = \frac{- ( - 750 ) - 400}{2 \cdot 175}

x = \frac{- ( - 750 ) + 400}{2 \cdot 175} : \frac{23}{7}

x = \frac{- ( - 750 ) - 400}{2 \cdot 175} : 1

二次方程组的解是:

x = \frac{23}{7}, x = 1

作图

流行的例子

x^2+(2x+4)^2=(2x+6)^2

x^{2} + (2 x + 4)^{2} = (2 x + 6)^{2}

∣ x - 3 ∣ = - 4

化简-(12)/(2(-3))

s im pl i f y - \frac{12}{2 ( - 3 )}

因式分解 5x^2y-x^2+5y-1

f a c t or 5 x^{2} y - x^{2} + 5 y - 1

(4x^2-25)/(x^2-9)<= 0

\frac{4 x ^{2} - 25}{x ^{2} - 9} \leq 0