Question

5x^2+x≥6 решите пжжжж

Answer 1

Решение на фото ..............

Answer 2

To solve the inequality 5x^2 + x ≥ 6, we need to find the values of x that satisfy the inequality. Here's how you can do it step-by-step:

Step 1: Set the inequality to zero by moving all terms to the left side: 5x^2 + x - 6 ≥ 0

Step 2: Factor the quadratic expression on the left side, if possible. In this case, the expression doesn't easily factor, so we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a

where a = 5, b = 1, and c = -6

Step 3: Plug in the values of a, b, and c into the formula and solve for x: x = (-(1) ± √((1)^2 - 4(5)(-6))) / 2(5) x = (-1 ± √(1 + 120)) / 10 x = (-1 ± √121) / 10 x = (-1 ± 11) / 10

Step 4: Now we have two potential solutions for x: a) x = (-1 + 11) / 10 = 10 / 10 = 1 b) x = (-1 - 11) / 10 = -12 / 10 = -1.2

So, the solutions for the inequality 5x^2 + x ≥ 6 are x ≥ 1 and x ≤ -1.2.