# Math

posted by Sasha

How many real number solutions does the equation have? y=3x^2-5x-5

A)one solution
B)two solutions
C)no solutions
D)infinitely many solutions

I can't figure this question out. Any help would be amazing.

1. Reiny

make a sketch of the graph using
x = -1,0,1,2,3

2. Sasha

I still don't get it... Should I graph them as points? Because when I graph just x=-1 and ect... I get straight lines going up and down at the following points, (-1,0), (0,0),(1,0),(2,0),(3,0).

3. Sasha

Is it no solutions?

4. Sasha

No, the answer is two solutions, Correct?

5. Reiny

your first response tells me you are having difficulties evaluating a function for a given x

x = -1 , y = 3(-1)^2 - 5(-1) - 5 = 3+5-5 = 3
so the point is (-1,3)
x = 0 , y = -5 , so the point is (0,-5)
x = 1 , y = 3(1)^2 -5(1) - 5 = -7
so the point is (1,-7)
x = 2 , y = -3 , point is (2,-3)
x = 3, y = 7 , point (3,7)

without even looking at the graph and knowing that it is a parabola opening upwards, I can see that the graph from (-1,3) to (0,-5) must have crossed the x-axis, and from (2,-3) to (3,7) must have crossed it a second time,
so, yes, there are two solutions.

Looks like you are just guessing.

## Similar Questions

1. 2(x – 3) = 2x (1 point) one solution no solutions infinitely many solutions 2. 3(y – 3) = 2y – 9 + y (1 point) one solution no solutions infinitely many solutions 3. 10x – 2 – 6x = 3x – 2 + x (1 point) one solution no …
2. ### Algebra II

1)What method(s) would you choose to solve the equation: x2 + 2x - 6 = 0 A. Square roots; there is no x-term. B. Quadratic formula, graphing; the equation cannot be factored easily since the numbers are large. C. Factoring; the equation …
3. ### math

Help pllsss ASAP!!! have certain answers!! i try but i do not understand! help asap! give answers and walkthrough problems for me! 1. 2(x - 3) = 2x (1 point) one solution no solutions infinitely many solutions 2. 3(y - 3) = 2y - 9 …
4. ### Algebra

How many real number solutions does the equation have?
5. ### math

how many real number solutions does the equation have y = -4x^2 + 7x - 8 no solutions (is it this one) one solution two solutions infinitely many solutions
6. ### math

Decide whether the each equation has one solution, no solutions,or infinitely many solutions. 1. 2(x-3)= 2X A.One solution B.No solutions C.Infinitely many solutions 2. 3(y-3)= 2y-9+y A.One solution B.No solutions C.Infinitely many …
7. ### Math

1)How many real number solutions does the equation have?
8. ### Math

How many real-number solutions does the equation have?
9. ### Algebra

A physics student stands at the top of a hill that has an elevation of 37 meters. He throws a rock and it goes up into the air and then falls back past him and lands on the ground below. The path of the rock can be modeled by the equation …
10. ### Math

How many real number solutions does the equation have?

More Similar Questions