Question

) (х х + 29) • 5 = 645; 3) х - х + 100= 164;2) (533- у у) : 4= 121; 4 )5 3- у - у = 5 2.​

Answer 1

Пошаговое объяснение:

х^2 +29=645÷5

х^2=129-29

х=√100=10

533-у^2=121•4

у^2=533-484

у=√49=7

х-х=164-100

0#64 - это уравнение не имеет корней.

53-2у=52

2у=53-52

у=1/2=0,5

Answer 2

Let's solve each of these equations:

1. (х х + 29) • 5 = 645

Expanding the left side, we get:

5x^2 + 145 = 645

Subtracting 145 from both sides:

5x^2 = 500

Dividing both sides by 5:

x^2 = 100

Taking the square root of both sides:

x = ±10

Therefore, the solutions are x = 10 and x = -10.

2. (533- у у) : 4= 121

Multiplying both sides by 4:

533 - y^2 = 484

Subtracting 533 from both sides:

-y^2 = -49

Multiplying both sides by -1:

y^2 = 49

Taking the square root of both sides:

y = ±7

Therefore, the solutions are y = 7 and y = -7.

3. х - х + 100= 164

Simplifying the left side:

100 = 164

This is a contradiction, so there is no solution.

4. 5 3- у - у = 5 2

Simplifying the left side:

53 - 2y = 52

Subtracting 53 from both sides:

-2y = -1

Dividing both sides by -2:

y = 1/2

Therefore, the solution is y = 1/2.