SOLUTION: Given X^2+XY+AY^2=B and A=1, B=7, find the x intercepts.

Algebra.Com
Question 111621: Given X^2+XY+AY^2=B and A=1, B=7, find the x intercepts.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Given:

, ,
find the .


………plug in , ,

……..to find put
So, you will have
……..
……..
……..

are and

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=28 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.64575131106459, -2.64575131106459. Here's your graph:


RELATED QUESTIONS

Factor completely. ax – ay + x^2 –... (answered by checkley71)
Factor completely. ax – ay + x^2 –... (answered by Nate)
Find the x- and y-intercepts of the equation... (answered by mananth,Fombitz)
If {{{y^2=1+sin x}}} and {{{y((d^2)y/d(x^2))+(dy/dx)^2+ay^2+b=0}}}, find the value of... (answered by robertb)
Find the indicated product of (a+5b)(x+y)The answer is below. a) ax+6bx+ay+5by b)... (answered by richwmiller)
Given that f(x)=x^2-1 divided by x. Find the following a. V.A b. H.A c. X-intercepts... (answered by solver91311)
ax-by = a^2 + b^2 2bx - ay = 2b^2 + 3ab - a^2 Find x and y in terms of a and... (answered by robertb)
Find x and y in terms of a and b: ax - by = a^2 + b^2 2bx - ay = 2b^2 + 3ab - a^2... (answered by lynnlo,Edwin McCravy)
Find the vertex and x-intercept(s) of the function given below. y=(x-4)(x+2) A. (answered by rfer)