Question

TÌM X:

(2x+1)² =25

(2x-3)² =36

 

Answer 1

a)(2x+1)²=25=5²=(-5)²

=>2x+1=5 hoặc 2x+1=-5

2x=5-1              2x=-5-1

2x=4                 2x=-6

x=4/2                x=-6/2

x=2                  x=-3

Vậy x=2 hoặc x=-3

b)(2x-3)²=36=6²=(-6)²

=>2x-3=6 hoặc 2x-3=-6

2x=6+3            2x=-6+3

2x=9                2x=-3

x=9/2               x=-3/2

Vậy x=9/2 hoặc x=-3/2

Answer 2

(2x+1)² = 25

=> 2x² + 1² = 25

=> 2x² + 1 = 25

=> 2x² = 24

=> x² = 12

=> x = \(\sqrt{12}\) 

(2x - 3)² = 36

=> 2x² - (3²) = 36

=> 2x² - 9 = 36

=> 2x² = 45

=> x² = 22,5

=> x = \(\sqrt{22,5}\)

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Answer 3

a)(2x+1)² =25

<=>(2x+1)² =5²

<=>2x+1=5

<=>2x=4

<=>x=2

b)(2x-3)² =36

<=>(2x-3)² =6²

<=>2x-3=6

<=>2x=9

<=>x=4,5

Answer 4

\(\text{a)(2x+1)2 =25 }\) 

<=>(2x+1)² =5²

<=>2x+1=5

<=>2x=4

<=>x=2

b)(2x-3)² =36

<=>(2x-3)² =6²

<=>2x-3=6

<=>2x=9

<=>x=4,5

Answer 5

(2x+1)²=25

(2x+1)²=5²

2x+1=5

2x=5-1=4

x=4 :2=2