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19.25=-8.5(2r-1.75)^2

解答

19.25 = - 8.5 (2 r - 1.75)^{2}

解答

r = 0.875 + 0.75244 \dots i, r = 0.875 - 0.75244 \dots i

求解步骤

19.25 = - 8.5 (2 r - 1.75)^{2}

交换两边

- 8.5 (2 r - 1.75)^{2} = 19.25

在两边乘以

100

- 850 (2 r - 1.75)^{2} = 1925

两边除以

- 850

(2 r - 1.75)^{2} = - \frac{77}{34}

对于

(g (x))^{2} = f (a)

解为

g (x) = f (a), - f (a)

解

2 r - 1.75 = - \frac{77}{34} : r = 0.875 + 0.75244 \dots i

解

2 r - 1.75 = - - \frac{77}{34} : r = 0.875 - 0.75244 \dots i

二次方程组的解是:

r = 0.875 + 0.75244 \dots i, r = 0.875 - 0.75244 \dots i

作图

流行的例子

solvefor x,x(2x+1)=0

so l v e f or x, x (2 x + 1) = 0

6x^2+125=5(x^2+25)

6 x^{2} + 125 = 5 (x^{2} + 25)

4 x^{2} + 5 x = - 1

9(x^2-2)-13=-15

9 (x^{2} - 2) - 13 = - 15

(17-y)^2+y^2=145

(17 - y)^{2} + y^{2} = 145