The product of two consecutive integers is 420. an equation is written in standard form to solve for the smaller integer by factoring.

what is the constant of the quadratic expression in this equation?

x2 + x + = 0

20*21 = 420 and (-21)*(-20) = 420

Any constant less or equal than 0.25

Step-by-step explanation:

The product of two consecutive integers is 420 can be expressed mathematically as follows:

x*(x+1) = 420

After applying distributive property and subtracting 420 at both sides, we get:

x^2 + x - 420 = 0

In order to factorise, we use the quadratic equation as follows:

Then, 20*21 = 420 and (-21)*(-20) = 420

A quadratic equation with the standard form has a solution to the equation:  a*x^2 + b*x + c = 0 if its discriminant is greater or equal than zero. Mathematically:

b^2-4(a)(c) >= 0

Here a = 1 and b = 1; then,

1^2-4(1)(c) >= 0

-4(c) >= -1

c <= -1/-4

c <= 0.25

incomplete question. how do you expect anyone to you when you do not post the question in its entirety?

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form