SOLUTION: please show how to solve t squared minus seventeen equals 2t
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Question 238110: please show how to solve t squared minus seventeen equals 2t
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
t^2 - 17 = 2t
subtract 2t from both sides of the equation to get:
t^2 - 2t - 17 = 0
that's a quadratic equation.
it doesn't look like it will factor, so use the quadratic formula to solve it.
the quadratic formula is:
x = -b +/- sqrt(b^2-4ac)/2a
standard form of the quadratic equation is ax^2 + bx + c
in your equation of t^2 - 2t - 17 = 0, replace t with x to make it:
x^2 - 2x - 17 = 0
a = coefficient of x^2 term = 1
b = coefficient of x term = -2
c = constant term = -17
substitute in quadratic formula of:
x = -b +/- sqrt(b^2-4ac)/2a to get:
this becomes
x = 5.242640687 or x = -3.242640687
to confirm these values are true, substitute in the original equation and solve.
both values substituted and confirmed the original equations so the answers are good.
a graph of this equation looks like:
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