Question

Найти наибольший корень уравнения 7√x=x+12( написать полное решение )

Answer 1

(7*√x)²=(x+12)²
49x=x²+24x+144
x²-25x+144=0  D=49
x₁=9   x₂=16
Ответ: наибольший корень x=16.

Answer 2

I can help you with math problems. To find the largest root of the equation $7\sqrt{x}=x+12$, we need to solve it for $x$. Here are the steps:

- Square both sides of the equation to get rid of the square root: $49x=(x+12)^2$ - Expand the right side and simplify: $49x=x^2+24x+144$ - Subtract $49x$ from both sides and rearrange: $x^2-25x+144=0$ - Factor the left side: $(x-9)(x-16)=0$ - Set each factor equal to zero and solve for $x$: $x-9=0$ or $x-16=0$ - The solutions are $x=9$ or $x=16$ - Since we are looking for the largest root, the answer is $x=16$Ответь+подробно.+Найти+наибольший+корень+уравнения+7√x=x+12(+написать+полное+решение+)