Grade 11Algebra
If one root of the quadratic equation x^2-6x+k=0 is the square of the other root , find the value of k
1 Answer
Mathematics Expert - askIITians
Given equation
Compare the above equation with
Let roots of the equations are x1 and x2 , then
(Given)
From the quadratic equation,
And
Let
Therefore
Thus, possible values of k are 8 and -27.
Compare the above equation with
Let roots of the equations are x1 and x2 , then
(Given)From the quadratic equation,
And
Let
Therefore
Thus, possible values of k are 8 and -27.
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago