Question

Розв'язати рiвняння: x²-9x=0. Допоможіть будь ласка

Answer 1

Ответ:

Объяснение:

на фото

Answer 2

Ответ:

х²-9х=0

х×(х-9)=0

х=0

х-9=0

х=0

х=9

Answer 3

Solving the Equation: x² - 9x = 0

To solve the equation x² - 9x = 0, we need to find the values of x that satisfy the equation. This is a quadratic equation, which means it can be factored or solved using the quadratic formula.

Factoring the Equation

To factor the equation x² - 9x = 0, we can first factor out the common factor of x:

x(x - 9) = 0

Now, we have two factors: x and (x - 9). To find the values of x that satisfy the equation, we set each factor equal to zero and solve for x:

x = 0 or x - 9 = 0

Solving the first equation, we find x = 0. Solving the second equation, we find x = 9.

Therefore, the solutions to the equation x² - 9x = 0 are x = 0 and x = 9.

Using the Quadratic Formula

Alternatively, we can solve the equation x² - 9x = 0 using the quadratic formula. The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation x² - 9x = 0, a = 1, b = -9, and c = 0. Plugging these values into the quadratic formula, we get:

x = (-(-9) ± √((-9)² - 4(1)(0))) / (2(1)) x = (9 ± √(81 - 0)) / 2 x = (9 ± √81) / 2 x = (9 ± 9) / 2

Simplifying further, we have:

x = (9 + 9) / 2 = 18 / 2 = 9 x = (9 - 9) / 2 = 0 / 2 = 0

Therefore, the solutions to the equation x² - 9x = 0 are x = 0 and x = 9.

Note: The search results provided by You.com did not directly provide the solution to the equation x² - 9x = 0. However, the solution can be obtained by factoring or using the quadratic formula, as explained above.