How do I do this question
x^2+qx+r=0 is three times the other root. Prove 3q^2=16r
I'm kinda confused when doing the working to the question
For what values of x is 3x^2+14x-5<0
Not sure what to do
Given that x=2 is a root of the equation x^2+x+m=0 find the other root and the value of m.
a) The sum of roots is 5, so k+2 = 5, whence k = 3.FInd the value of k for the equation x^2-(k+2)x+4k=0 if
a. the sum of the roots is 5
b. The product of the roots is 12
c. One root is 2 more than the other root
Sum of the roots is alpha+beta, right?
Yeah.Sum of the roots is alpha+beta, right?
For the parabola y=x^2-(p+q)x+pq (where p>q) find the values of x for which y is greater or equal to 0
Huh I still don't get it
I don't get this Q
What is the relation btwn a and b if the graph of y=x^2+ax+b:
a) touches the x axis
b) cuts the x-axis at 2 points
Huh I still don't get it
If it says show y>0 do you use delta=b^2-4ac?
For the first two, show that the discriminant is a perfect square.Show that the roots of a equation (3m-5)x^2-3m^2x+5m^2=0 for m is in not equal to 3 are rational if m is rational
SHow that the roots of the equarion ax^2-(a+b)x+b=0 for a is not equal to 0 are rational for all rational values of a and b
For what values of m does the quadratic equation x^2+mx+(m+1)^2=0 have 2 roots