Question

Точка M(a;b) принадлежит графику функции y=√x. Найтдите a и b, если a=3b.

Answer 1

А=3b
$b = \sqrt{a} \\ b = \sqrt{3b} \\ {b}^{2} = 3b \\ {b}^{2} - 3b = 0 \\ b(b - 3) = 0 \\ b1 = 0. \\ b - 3 = 0 \\ b 2= 3$
тогда а1=0, а2=9
ответ: а1=0, b1=0
a2=9, b2=3

Answer 2

Finding the values of a and b for the point M(a;b) on the graph of y=√x

To find the values of a and b for the point M(a;b) on the graph of y=√x, we need to substitute the values of a and b into the equation and solve for a and b.

Given that a = 3b, we can substitute this value into the equation y=√x to get:

b = 3b

To solve for b, we can divide both sides of the equation by 3:

1 = b

So, b = 1.

Now, we can substitute the value of b back into the equation a = 3b:

a = 3 * 1

Therefore, a = 3.

Hence, the values of a and b for the point M(a;b) on the graph of y=√x are a = 3 and b = 1.

Please let me know if you need any further clarification.