Question

Х=t^2+2t x=7t+6 решите систему

Answer 1

X=t²+2t
x=7t+6
вычтем
t²-5t-6=0
t₁.₂=5⁺₋√(25-24) = 5⁺₋1
             2              2
t₁=3                  t₂=2
x₁=7t₁+6=27      x₂=7t₂+6=20

Answer 2

I can help you with math problems. To solve the system of equations, we need to find the values of x and t that satisfy both equations. One way to do this is to use the substitution method. We can isolate x from the first equation and substitute it into the second equation. This gives us:

$$x = t^2 + 2t$$

$$t^2 + 2t + 7t + 6 = 0$$

Simplifying and factoring, we get:

$$t^2 + 9t + 6 = 0$$

$$(t + 3)(t + 2) = 0$$

Therefore, t can be either -3 or -2. To find the corresponding values of x, we can plug these values into the first equation. This gives us:

$$x = (-3)^2 + 2(-3) = 3$$

$$x = (-2)^2 + 2(-2) = 0$$

So, the solution of the system is x = 3 and t = -3, or x = 0 and t = -2. You can check these solutions by plugging them into the original equations and verifying that they are true.

If you need more help with algebra, you can use some online tools like [Mathway](https://www.mathway.com/ru/Algebra) or [Symbolab](https://www.symbolab.com/solver/antiderivative-calculator). They can show you step-by-step solutions and explanations for various types of math problems.