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受欢迎的代数 >

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

解答

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

解答

x = \frac{7 + 17}{4}, x = \frac{7 - 17}{4}

+1

十进制

x = 2.78077 \dots, x = 0.71922 \dots

求解步骤

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

将

3 x^{2}

para o lado esquerdo

2 x^{2} - 7 x = - 4

将

4

para o lado esquerdo

2 x^{2} - 7 x + 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 2 \cdot 4}{2 \cdot 2}

(- 7)^{2} - 4 \cdot 2 \cdot 4 = 17

x_{1, 2} = \frac{- ( - 7 ) \pm 17}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 7 ) + 17}{2 \cdot 2}, x_{2} = \frac{- ( - 7 ) - 17}{2 \cdot 2}

x = \frac{- ( - 7 ) + 17}{2 \cdot 2} : \frac{7 + 17}{4}

x = \frac{- ( - 7 ) - 17}{2 \cdot 2} : \frac{7 - 17}{4}

二次方程组的解是:

x = \frac{7 + 17}{4}, x = \frac{7 - 17}{4}

作图

流行的例子

-11a^2+32a+256=0

- 11 a^{2} + 32 a + 256 = 0

3 x + 5 = 4 x^{2}

solvefor t,2at^2-6at-a+2tb-3b+2c=t^2+3

so l v e f or t, 2 a t^{2} - 6 a t - a + 2 t b - 3 b + 2 c = t^{2} + 3

2*((0.145-2x)^2)=(0.0262+x)*(0.074+x)

2 \cdot ((0.145 - 2 x)^{2}) = (0.0262 + x) \cdot (0.074 + x)

(x^2)/(16)-4/49 =0

\frac{x ^{2}}{16} - \frac{4}{49} = 0