Question

One solution of the equation 2x2 - x - 10 = 0 is five over two. What is the other solution?

Numerical Answers Expected!

Answer 1

factor the expression

Answer 2

can you do that?

Answer 3

2x2 - x - 10
= 2x^2 + 4x - 5x - 10

Answer 4

factor the above by grouping

Answer 5

If you start with 2x2 − x − 10 = 0 and divide everything by 2 to make the leading coefficient 1, you get x^2-(1/2)x-5 = 0

Now it turns out that for something like x^2+bx+c = 0, the two roots/solutions p and q multiply to the last coefficient c. In other words, pq = c


Since one root is 5/2, we know that (5/2)q = -5


Now solve for q to get q = -10/5 = -2


So the other root is -2

Answer 6

lol

Answer 7

someone nearly always gives the answer when we are trying to get the questioner involved so they can learn something...

Answer 8

they do i explained it

Answer 9

they would have learned a bit more if you hadn't interfered