Question

Ulrich says that the solutions to the quadratic equation 2x2−7x−15=0 are x=−32 and x=5. Which statement correctly describes his solution?

Answer 1

Answer: correct

Explanation:

He is correct because his equation in factored form is (2x+3)(x-5)=0

Answer 2

Explanation:

Given the quadratic equation,

2x²-7x−15

To get the solution to the equation, we need to factorise as shown:

x = -b±√b²-4ac/2a

a = 2, b = -7, c = -15

x = -(-7)±√(-7)²+4(2)(-15)/2(2)

x = 7±√49+120/4

x = 7±√169/4

x = 7±13/4

x = 7+13/4 or 7-13/4

x = 20/4 or -6/4

x = 5 or -3/2

It can be described that the final answer to the system of equation are 5 and -3/2 which are both an integer and a fraction