Question

(2х-5)²+(3х+1)² как решить

Answer 1

Ответ:

13х²-14x+26

Объяснение:

(2х-5)²+(3х+1)²=4х²-20x+25+9x²+6x+1=13х²-14x+26

Answer 2

Solving the Equation (2x-5)² + (3x+1)²

To solve the equation (2x-5)² + (3x+1)², we can expand and simplify the expression to find its minimum value.

Expanding the given expression: (2x-5)² + (3x+1)²

This can be expanded as: (2x-5)² = (2x-5)(2x-5) = 4x² - 20x + 25 (3x+1)² = (3x+1)(3x+1) = 9x² + 6x + 1

Adding both expanded expressions: (2x-5)² + (3x+1)² = 4x² - 20x + 25 + 9x² + 6x + 1 = 13x² - 14x + 26

To find the minimum value of this expression, we can use the formula for the vertex of a parabola, which is given by x = -b/2a.

In this case, for the expression 13x² - 14x + 26, the coefficient of x² is 13 and the coefficient of x is -14.

Using the formula, we get: x = -(-14)/(2*13) = 14/26 = 7/13

Substituting x = 7/13 back into the expression will give us the minimum value.

Therefore, the minimum value of the expression (2x-5)² + (3x+1)² occurs at x = 7/13.

This is the detailed process for solving the given equation. If you have any further questions or need additional assistance, feel free to ask!