F.4 quadratic equation 3條求解

2012-12-03 4:06 am
Solve the following quadratic equation

1.(X+1)^2+3(X+1)-4=0
2.(4-X)^2-5(4-X)-14=0
3.(X+2)^2-81X^2=0

急!THX!

回答 (1)

2012-12-03 4:14 am
✔ 最佳答案
1) (x + 1)² + 3(x + 1) – 4 = 0[(x + 1) – 1][(x + 1) + 4] = 0 x(x + 5) = 0 x= 0 or x = - 5 2) (4 - x)² - 5(4 - x) – 14 = 0[(4 – x) – 7][(4 – x) + 2] = 0 (- x – 3)(6 – x) = 0 x= - 3 or x = 6 3) (x + 2)² - 81x² = 0[(x + 2) – 9x][(x + 2) + 9x] = 0 (2 – 8x)(2 + 10x) = 0 x= 1/4 or x = - 1/5
參考: My Maths World


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