Question

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.

−b b^2 − 4ac 2a

Use the part of the quadratic formula that you chose above and find its value given the following quadratic equation:

2x2 + 7x + 3 = 0

Numerical Answers Expected!

Answer 1

b^2 - 4ac, if the result is a square number it can be solved by factoring.

Answer 2

can u help me please

Answer 3

oh sorry

ax^2 + bx + c = 0
2x^2 + 7x + 3 = 0

identify a, b and c then substitute in b^2 − 4ac, see if it's a square number

Answer 4

bleh.. i need help

Answer 5

D= ok

a = 2
b = 7
c = 3

b^2 − 4ac = 7^2 - 4*2*3 = ?

Answer 6

7^2 - 4(2)(3)

Answer 7

so 14 - 24?

Answer 8

7^2 isn't 14

Answer 9

The quadratic equation is \[x = \frac{ -b \pm \sqrt { b^2 - 4ac } }{ 2a }\]
In the formula, if the \[b^2 - 4ac\] part is not a square number, we will not be able to factorize this equation without involving irrational numbers. Hence, \[b^2 - 4ac\] is the answer.

In the second part, we have \[2x^2 + 7x + 3 = 0\]
Substitute everything, you get \[2(7)^2 - 4(2)(3)\]
Do the math and find out if it's a square number.

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Side note, the \[b^2 - 4ac\] expression is actually a discriminant to quadratic equations of this form \[ax^2 + bx + c = 0\]. It can be used to determine if the equation has 2 real roots, 1repeated root, or no real roots at all. If \[b^2 - 4ac > 0\]
It means the equation has 2 real roots, If \[b^2 - 4ac = 0\]
It means the equation has 1 repeated root. (Examples include (x-5)(x-5) = 0)
If \[b^2 - 4ac < 0\]
it means the equation has no real roots (it does not touch the x axis at all)

Answer 10

(Oops, I meant \[7^2 - 4(2)(3)\], not \[2(7^2) - 4(2)(3)\])

Answer 11

so 49

Answer 12

-24

Answer 13

25 ?

Answer 14

is 25 a square number?

Answer 15

square number = 1^2, 2^2, 3^2, 4^2, 5^2, ... n^2

Answer 16

no

Answer 17

To determine if a number is a square number, simply square root it and see if the number is a rational number.

In this case, \[\sqrt{25}\] yields 5. 5 is a rational number, so it is a rational number.

Answer 18

so the answer is 25

Answer 19

(╯° Д° )╯︵ ┻━┻ןoן

Answer 20

(err, I mean that 25 is a square number)

Answer 21

The answer is not 25. It simply tells you that this equation can be factored.

If you have trouble factorizing equations, I think you really need to check with your math teacher and revise factorization.

Answer 22

tyteen the question didn't ask to solve it though. so 25 is what it asks for.

Answer 23

so 25 is the answer :)

Answer 24

(╯° Д° )╯︵ ɐɔɔǝqǝɹ


jk