Question

Given the trinomial 5x^2-2x-3, predict the type of solutions.

Answer 1

A) 2 rational solutions
B) 1 rational solution
C) 2 irrational solutions
D) 2 complex solutions

Answer 2

calculated the value of the determinant
which for the equation

a^2 + bx + c = 0 is b^2 - 4ac

Answer 3

Huh?

Answer 4

compare

ax^2 + bx + c = 0 to
5x^2 - 2x - 3 = 0

so a = 5, b = -2 and c = -3

now plug these values into b^2 - 4ac and see what you get

Answer 5

the result will tell you the nature of the solutions of your equation

Answer 6

do you follow me?

Answer 7

The result was 56, right?

Answer 8

So the answer would be B?

Answer 9

(-2)^2 - 4*5*-3
= 4 + 60 = 64

Answer 10

if there is an expression in the form of
ax^2 + bx + c = 0
then the
expression
b^2 - 4ac
which is formed by the coefficient of x and the constant value of the above equation is known as the determinant.

if that value is greater than 0 ----> there 2 Real solutions
equal to 0 -----> there is only one soultion
greater than 0 and is a square value ----> 2 rational answers
greater than 0 and is not a square value ----> 2 irrational answers

Answer 11

a positive result means there are 2 rational roots so its A

Answer 12

Oh thank you!

Answer 13

@cwrw238 a positive result for the determinant means there r 2 REAL roots not 2 rational roots

Answer 14

It has to be a square value and a positive value to have 2 rational roots... however ur answer is correct cause 64 is a positive value and 64 = 8^2

Answer 15

yes - i missed that - my answer was correct partly by accident!