Question

Решите относительно: 1) x; p^2x-3px=p^2-9 2)x; x/(a-1)-x=5/(a+1) 3)x; a^2x-6=3x^2-2a 4)y; y^2/(4a)-1=y/a-y/4 5)x; 2x^2-4xy+1=0 6)y; 2x^2-4xy+1=0 7) x; x(x^2-1)-2a=2ax 8)x^2-x(2a+1)+a^2+a-6=0

Answer 1

Решение задания смотри на фотографии

Answer 2

Solving Equations

Let's solve the given equations step by step:

1) Equation: x; p^2x-3px=p^2-9

To solve this equation, we can factor out the common term 'x' from the left side:

x(p^2 - 3p) = p^2 - 9

Now, we can divide both sides of the equation by (p^2 - 3p) to isolate 'x':

x = (p^2 - 9) / (p^2 - 3p)

2) Equation: x/(a-1)-x=5/(a+1)

To solve this equation, let's first simplify the left side by finding a common denominator:

x(a+1) - x(a-1) = 5(a-1)

Expanding the terms:

xa + x - xa + x = 5a - 5

Simplifying further:

2x = 5a - 5

Now, we can isolate 'x' by dividing both sides of the equation by 2:

x = (5a - 5) / 2

3) Equation: a^2x-6=3x^2-2a+4

To solve this equation, let's rearrange the terms:

3x^2 - a^2x = 2a - 10

Now, we can factor out 'x' from the left side:

x(3x - a^2) = 2a - 10

Dividing both sides of the equation by (3x - a^2):

x = (2a - 10) / (3x - a^2)

4) Equation: y; y^2/(4a)-1=y/a-y/4+5

To solve this equation, let's simplify the left side by finding a common denominator:

y^2/a - 4y/(4a) = y/a - y/4 + 5

Multiplying both sides of the equation by '4a