Find the discriminant of x^2 + 9x + 14 = 0?

Use b^2 - 4ac
a = 1
b = 9
c = 14

(9)^2 - 4(1)(14)
81 - 56
25

Your discriminant is 25

Hope this helps you, Jay.
:0)
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Question Number 1 :
For this equation x^2 + 9*x + 14 = 0 , answer the following questions :
A. Calculate the Discriminant ! Explain what it means !

Answer Number 1 :
The equation x^2 + 9*x + 14 = 0 is already in a*x^2+b*x+c=0 form.
So we can imply that the value of a = 1, b = 9, c = 14.

1A. Calculate the Discriminant ! Explain what it means !
The formula Discriminant = b^2-4*a*c is useful to solve this problem.
Since we know that a = 1, b = 9 and c = 14,
we only have to subtitute those values into Discriminant = b^2-4*a*c.
So we get Discriminant = (9)^2 - 4 * (1)*(14)
Which is the same as Discriminant = 81-56
We get following answer : Discriminant = 25
Positive Discriminant value, means that f(x) = x^2 + 9*x + 14 is going to intersect x axis in two points.

x^2 + 9x + 14 = 0
x = [-b ±√(b^2 - 4ac)]/2a

a = 1
b = 9
c = 14

x = [-9 ±√(81 - 56)]/2
x = [-9 ±√25]/2

∴ the discriminant is 25

x = [ - 9 ± √ (81 - 56 ) ] / 2
x = [ - 9 ± √ (25) ] / 2
x = [ - 9 ± 5 ] / 2
x = - 2 , x = - 7

Note
b ² - 4ac = 81 - 56 = 25

Discriminant for a quadratic equation ax^2+ bx + c=0 is b^2-4a*c
here a=1
b=9
c=14
so D= 9^2-4*14
D=81-56=25 is the answer

discriminant of x^2 + 9x + 14 = 0

(x + 7)(x + 2)

x= -7 or -2

2X+9X=-14
11X=-14/11X

Discriminant for ax^2+ bx + c=0 is b^2-4a*c
thus D= 9^2-4*14=81-56=25