Question

9²-(10-x)² = (√19)² - x²

Answer 1

Ответ:

х=19/10

Объяснение: 9^2 -100+20x-x^2=19-x^2

                       81-100+20x=19

                       -19+20x=19

                       20x=19+19

                        20x=38

                        x=38/20

                        x=19/10 или 1.9

Answer 2

Let's solve the equation step by step.

First, let's simplify the left side of the equation:

9² - (10 - x)² = 81 - (10 - x)²

To simplify the expression (10 - x)², we can use the formula for the square of a binomial:

(a - b)² = a² - 2ab + b²

In this case, a = 10 and b = x:

(10 - x)² = 10² - 2(10)(x) + x² = 100 - 20x + x²

Now we can substitute this back into the equation:

81 - (10 - x)² = 81 - (100 - 20x + x²) = 81 - 100 + 20x - x² = -19 + 20x - x²

Now let's simplify the right side of the equation:

(√19)² - x² = 19 - x²

Now we can rewrite the equation:

-19 + 20x - x² = 19 - x²

Since the x² terms cancel out, we have:

-19 + 20x = 19

Now let's isolate the x term:

20x = 19 + 19 20x = 38

Finally, we can solve for x by dividing both sides by 20:

x = 38/20 x = 1.9

So the solution to the equation is x = 1.9.