更新1:
And explain? Thank you I’ll appreciate it : )
Can someone please solve this? ?
回答 (7)
2020-05-12 4:49 pm
✔ 最佳答案
25^[x² + (3/2).x] = 125 → you know that: 25 = 5^(2)[5^(2)]^[x² + (3/2).x] = 125 → you know that: 125 = 5^(3)
[5^(2)]^[x² + (3/2).x] = 5^(3) → recall: [x^(a)]^(b) = x^(ab)
5^{2.[x² + (3/2).x]} = 5^(3)
2.[x² + (3/2).x] = 3
x² + (3/2).x = 3/2
x² + (3/2).x + (3/4)² = (3/2) + (3/4)²
x² + (3/2).x + (3/4)² = 33/16
[x + (3/4)]² = 33/16
x + (3/4) = ± (√33)/4
x = - (3/4) ± [(√33)/4]
x = (- 3 ± √33)/4
Solution = { (- 3 - √33)/4 ; (- 3 + √33)/4 }
2020-05-12 9:55 pm
Case 1:
25^(x^2)+3x/2=125
=>
x=-1.226597 with error E=0.0003<0.0005
using computer.
Case 2
25^(x^2+3x/2)=125
=>
5^(2x^2+3x)=5^3
=>
2x^2+3x=3
=>
x=[-3+/-sqr(9+24)]/4
=>
x=0.686140661 or x=-2.18614066.
25^(x^2)+3x/2=125
=>
x=-1.226597 with error E=0.0003<0.0005
using computer.
Case 2
25^(x^2+3x/2)=125
=>
5^(2x^2+3x)=5^3
=>
2x^2+3x=3
=>
x=[-3+/-sqr(9+24)]/4
=>
x=0.686140661 or x=-2.18614066.
2020-05-12 10:27 pm
25 x^2 + 3/2 x = 125
Multiply both sides by 2
50 x^2 + 3 x = 250
x (50 x + 3) = 250
Solutions:
x = -3/100 - sqrt(50009)/100
x = sqrt(50009)/100 - 3/100
Multiply both sides by 2
50 x^2 + 3 x = 250
x (50 x + 3) = 250
Solutions:
x = -3/100 - sqrt(50009)/100
x = sqrt(50009)/100 - 3/100
2020-05-12 3:54 pm
What are you confused about? Every equation solver I've tried handles this well.
2020-05-12 1:19 pm
25x^2 + 3/2 x = 125
50x^2 + 3x - 250 = 0
Solutions:
x ≈ -2.2663
x ≈ 2.2663
50x^2 + 3x - 250 = 0
Solutions:
x ≈ -2.2663
x ≈ 2.2663
收錄日期: 2021-05-01 01:05:32
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20200512045753AAnFAiE