Find the exact solutions to 2x^2=5x-1 by using the quadratic formula
2 answers:
Solve the equation for x by finding a
, b
, and c of the quadratic then applying the quadratic formula
Exact form:
x
= 5
±
√
17
4
Decimal:
x
= 2.28077640
…
,
0.21922359
sorry idk how to put a fraction in
Answer:
The exact solution is (5 ± √17) / 4.
Step-by-step explanation:
2x^2 = 5x-1
2x^2 - 5x + 1 = 0
then,
a = 2, b = -5, c = 1
Now, by using quadratic formula,
(-b±√(b²-4ac)) / (2a)
(5 ± √(-5)^2 - 4(2)(1)) / 2×(2)
(5 ± √17) / 4.
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