Show that 2kx2 - 2(k+3)x + k + 10/k is always negative for k < 0

Show that 2kx2 - 2(k+3)x + k + 10/k is always negative for k < 0

2x^2-2x+9=0 I don't know what a discriminant is so I do not understand its purpose.

find the discriminant for the equation . then determine the nature of solutions for the equation.

3a^2+2a=5 -4p^2+8p=7

I saw these questions on my test and had no clue how to solve them considering that we don't get our tests back, I would like to figure out how to properly do them. I understand that the formula is...

The manager of a park enclosed an area for small dogs to play. He made the length 15ft longer than the width and enclosed an area covering 1350 square feet. What are the dimensions of the dog's play...

-4a^2 - 5a - 1 = 0

k^2 - 6k - 7 = 0

Find the set of values for k for which the line y=2x−k meets the curve y=x2+kx−2 at two distinct points. I only know you have to use a discriminant. :/

The Reeve's family garden is 18 ft long and 15f ft wide. They want to decrease the length by x feet and increase the width by the same amount. The equation A=(18-x)(15+x) models the new area of...

In the past, professional baseball was played at the Astrodome in Houston, Texas. The Astrodome has a maximum height of 63.4m. The height of a baseball t seconds after it is hit straight up in...

What is the value of the discriminant for 5x^2 + 7x = 6 ? How many different real number solutions does the equation have? Thanks SO MUCH for answering! :)

5x^2-10x+5=0

Use the discriminant to describe the roots of each equation. Then select the best description. x2 - 4x + 4 = 0

Given the equation 4x^2+5x-6=0 what is value of the discriminant? How many solutions are there and what type? (Ex:1,imaginary) find the solutions using quadratic formu...

Use the discriminant to find the number of real solutions of the equation 3x^2 – 5x + 4 = 0.

Compute the value of the discriminant and give the number of real solutions of the quadratic equation

A. The graph shows a parabola opening up with a vertex at 2 comma negative 1 B. The graph shows a parabola opening up with a vertex at negative 1 comma negative 3 C....

a parabola opening up one x intercept near negative 6 Choose one answer. A. -17 B. zero C. 12 D. 49

Find the discriminant and identify the best description of the equation's root(s). x2+5=sqrt(7x−2) a. 1 real solution b. 2 complex solutions c. 2 real...