Question

(x-2)²=3x-8 помогите, не могу решить!!!!

Answer 1

Ответ:

(x-2)²=3x-8

x²-4x+4-3x+8=0

x²-7x+12=0

По теореме Виета:

x1+x2=7

x1*x2=12

x1=4

x2=3

Объяснение:

Answer 2

$(a-b)^2=a^2-2ab+b^2\Rightarrow\\x^2-4x+4=3x-8;\\x^2-4x+4-3x+8=0;\\x^2-7x+12=0;\\T.~~VIETA~:\displaystyle\left \{ {{x_1*x_2=12} \atop {x_1+x_2=7}} \right. \to\\x_1=3;~~x_2=4.$

Answer 3

To solve the equation (x-2)² = 3x - 8, we can follow a step-by-step process. Let's break it down:

Step 1: Expand the equation

Expand the square on the left side of the equation using the formula (a-b)² = a² - 2ab