Question

2x в квадрате+5x-3 Решите пож!

Answer 1

2x^2+5x-3

2x^2+6x-x-3

2x*(x+3)-(x+3)

(2x-1)(x+3)

Answer 2

Solution to the Equation 2x^2 + 5x - 3 = 0

To solve the equation 2x^2 + 5x - 3 = 0, we can use various methods such as factoring, completing the square, or using the quadratic formula. Let's solve it step by step:

Step 1: Factor the quadratic equation To factor the quadratic equation, we need to find two numbers whose product is equal to the product of the coefficient of x^2 (2) and the constant term (-3), and whose sum is equal to the coefficient of x (5).

The factors of 2 are 1 and 2, and the factors of -3 are -1 and 3. We can try different combinations to find the correct factors that satisfy the conditions.

The factors that satisfy the conditions are 3 and -1. Therefore, we can rewrite the equation as:

(2x - 1)(x + 3) = 0

Step 2: Solve for x To solve for x, we set each factor equal to zero and solve for x:

2x - 1 = 0 x + 3 = 0

Solving the first equation: 2x - 1 = 0 2x = 1 x = 1/2

Solving the second equation: x + 3 = 0 x = -3

Therefore, the solutions to the equation 2x^2 + 5x - 3 = 0 are x = 1/2 and x = -3.

Solution:

The solutions to the equation 2x^2 + 5x - 3 = 0 are x = 1/2 and x = -3.