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受欢迎的代数 >

(2x-5)^2+(3x-3)^2=13x^2-5x+7

解答

(2 x - 5)^{2} + (3 x - 3)^{2} = 13 x^{2} - 5 x + 7

解答

x = \frac{9}{11}

+1

十进制

x = 0.81818 \dots

求解步骤

(2 x - 5)^{2} + (3 x - 3)^{2} = 13 x^{2} - 5 x + 7

展开

(2 x - 5)^{2} + (3 x - 3)^{2} : 13 x^{2} - 38 x + 34

13 x^{2} - 38 x + 34 = 13 x^{2} - 5 x + 7

将

34

到右边

13 x^{2} - 38 x = 13 x^{2} - 5 x - 27

两边减去

13 x^{2} - 5 x

13 x^{2} - 38 x - (13 x^{2} - 5 x) = 13 x^{2} - 5 x - 27 - (13 x^{2} - 5 x)

化简

- 33 x = - 27

两边除以

- 33

x = \frac{9}{11}

作图

流行的例子

2(1+x)-3(x-1)-6=x-11

2 (1 + x) - 3 (x - 1) - 6 = x - 11

sqrt(2)+sqrt(3)=sqrt(5)

2 + 3 = 5

4 x + 20 = 45 - x

2/3 (9x-15)=2(3x-5)

\frac{2}{3} (9 x - 15) = 2 (3 x - 5)

3 (x - 3) = 12