in this problem what is the discriminant? 4x^2 + 5x -3 =0?

Answer 1

Discriminant = b^2 -4ac.

a=4
b=5
c=-3

Discriminant = 5^2 - (4)(4)(-3)

which equals 25 + 48

which equals 73!

Answer 2

The discriminant of the quadratic equation
ax² + bx + c = 0
is
b² - 4ac

therefore, in 4x² + 5x - 3 = 0
a = 4
b = 5
c = -3
The discriminant is
b² - 4ac
= (5)² - 4(4)(-3)
= 25 + 48
= 73

^_^

ADDITIONAL:
Why is b² - 4ac the discriminant? The discriminant describes the solution of a quadratic equation, where
if b² - 4ac > 0, then the quadratic equation has 2 real, unequal roots
if b² - 4ac = 0, then the quadratic equation has 2 real, equal roots
if b² - 4ac < 0, then the quadratic equation has 2 imaginary (irreal) roots
why is that so?
From the quadratic equation
ax² + bx + c = 0
If we solve it like this
ax² + bx + c = 0
4a²x² + 4abx + 4ac = 0
4a²x² + 4abx + b² - b² + 4ac = 0
(2ax + b)² - b² + 4ac = 0
(2ax + b)² = b² - 4ac
2ax + b = ±√(b² - 4ac)
2ax = -b ± √(b² - 4ac)
x = [-b ± √(b² - 4ac)]/2a

Therefore, you have solved for the 2 solutions of x, which are
x = [-b + √(b² - 4ac)]/2a and
x = [-b - √(b² - 4ac)]/2a

Therefore, the two solutions depend on the value √(b² - 4ac), because it has 2 signs ±.
You will notice that b² - 4ac is inside the square root, so if it is positive, then the 2 roots are unequal. i.e.
x = [-b ± √(b² - 4ac)]/2a
If it is zero, it will be cancelled and the solution now is
x = [-b ± √(b² - 4ac)]/2a
x = [-b ± √0]/2a
x = (-b ± 0)/2a
x = -b/2a therefore, there is only one root.
If b² - 4ac is negative, then the root is imaginary and the 2 solutions are imaginary.
Therefore, b² - 4ac describes the solutions of ax² + bx + c = 0 and is called the discriminant

^_^

Answer 3

4x^2 + 5x - 3 =0 -----> ax^2 + bx + c

So, a= 4, b=5 and c = -3

discriminant = d = (b^2 - 4ac)
=73

Answer 4

discriminant is b^2 - 4ac
compare the quadratic eqn with standard form ax^2 + bx + c=0
a=4
b=5
c= -3
therefore the answer is 25 - 4(4)(-3)=73

Answer 5

The discriminant Formula

b² - 4ac

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Information from the above statement

a = 4
b = 5
c = 3

Insert these values into the descriminant formula

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

b² - 4ac

5² - [4(4)(-3)]

25 - [4(-12)

25 - [-48]

25 + 48

73

The discriminant answer is 73

Answer 6

4x^2 + 5x - 3 = 0

d = b^2 - 4ac

d = (5)^2 - 4(4)(-3)
d = 25 + 48
d = 73

Answer 7

b^2 - 4 AC

from Ax^2 + bx + c= 0

Answer 8

not sure but i think its the square root of 5^2 - 4(4)(-3)