Question 515573: I am having trouble trying to solve this problem. Would someobdy be able to assist me?
Solve - 3x^2 - 7x - 5 = 0
a. The solutions(s) is/are x=?
b. Find the x-intercepts of f(x) = 3x^2 -7x - 5.
1/3 x 3x^2 - 7/3x - 5/3 = 0
x^2 - 7/3x - 5/3 = 0
x^2 - 7/3x - 5/3 this is where I get lost.
Thank you.
Sincerely,
Christine Fitzgerald
Found 2 solutions by drcole, Alan3354:
Answer by drcole(72)   (Show Source):
You can put this solution on YOUR website! You are given the quadratic equation
It looks like you are trying to factor this quadratic, but the easiest way to solve this one is to use the quadratic formula: recall that the solutions to
are
Here, a = -3, b = -7, and c = -5, so we substitute in and get:
 (simplifying)
 (simplifying)
 (since  )
So the two solutions are:
and
Now, the x-intercepts of the graph of  are the REAL roots of  . If the quadratic equation has no real roots, then the graph never intersects the x-axis: it is either always above the x-axis, or always below it. In this case, the solution to the quadratic equation are non-real complex numbers, so there are no x-intercepts of f(x).
Answer by Alan3354(69443)  (Show Source):
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