Which of the following are solutions to the following equation?

Question

13. Which of the following are solutions to the following equation?
4x^2-100=0
Check all that apply.
-10
-5
5
10

14. The value -1 is a solution for x^2-6x+5=0.
True
False

15. Describe the roots of the equation shown below.
3x^2+4x+2=0
There are two real, rational roots.
There are two real, irrational roots.
There is one real, double root.
There are two complex roots.

16. A ball is thrown vertically upward with an initial velocity of 5 ft/sec from a height of 2 feet. Which function models its motion?
Y=-16t^2+5t+2
Y=-16t^2-5t-2
Y=-16t^2+2t+5
Y=16t^2-2t-5

Answer 1

13) 4x^2-100=0

       x^2-25=0

       (x-5)(x+5)=0

        x-5=0

        x=5

        x+5=0

        x=-5

        5 and -5

 

14) x^2-6x+5=0

     (x-5)(x-1)=0

     x-5=0

     x=5

     x-1=0

     x=1

     False

 

15) 3x^2+4x+2=0

     using the quadratic equation, √(b²-4ac)=√(16-4*3*2)=√(16-24)=√-8 which means that there are two complex roots

 

16) Y=-16t^2+5t+2