What are the approximate solutions of 2x2 + x = 14, rounded to the nearest hundredth? x ≈ −2.41 and x ≈ 2.91 x ≈ −2.91 and x ≈ 2.41 x ≈ −5.82 and x ≈ 4.82 no real solutions?

Hello mate!

We have the equation 2x^2 + x = 14

let's solve it for x:

2x^2 + x - 14 = 0

the solutions can be obtained with the equation:

then the solutions are:

(-1 - 10.63)/4 = -2.907, that rounded to the hundreths is equal to -2.91 (because the number after the hundredth place is a 7, so we round up)

and

(-1 +10.63)/4 = 2.407, that when rounded to the hundreths place is equal to 2.41 (the same reason as before)

then the answers are -2.91 and 2.41

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

the answer is two. hope this !