Question

What are the approximate solutions of 2x2 - 4x = 1 rounded to the nearest hundredth?

Answer 1

2x^2 - 4x = 1 or x^2 - 2x = 1/2

complete the square

x^2 - 2x + 1 = 1/2 + 1

(x - 1)^2 = 3/2

\[x - 1 = \sqrt{3/2}\]

\[x = 1\pm \sqrt{3/2}\]

now evaluate the 2 solutions

Answer 2

no real soulitons?

Answer 3

yep there are real solutions.... but you need a calculator to get the answer

\[x = 1 + \sqrt{3/2}\]

and

\[x = 1-\sqrt{3/2}\]

Answer 4

\[\LARGE \Delta =b^2-4ac\]
if...
\[\LARGE \Delta >0 \quad \text{two solutions.}\]
\[\LARGE \Delta =0 \quad \text{one solution.}\]
\[\LARGE \Delta <0 \quad \text{no solution }\]

Answer 5

x ≈ -0.23 and x ≈ 2.23 ? right

Answer 6

yep... that makes sense

Answer 7

how did you break it down

Answer 8

No real solutions
Two identical rational solutions
Two different rational solutions
Two irrational solutions
What are the exact solutions of x2 − 5x − 1 = 0?

Solve 2x2 + 3x + 6 = 0. Round solutions to the nearest hundredth.

x ≈ −2.64 and x ≈ 1.14
x ≈ −1.14 and x ≈ 2.64
No real solutions
x ≈ −1.11 and x ≈ −4.89

What are the approximate solutions of 2x2 − 4x = 1 rounded to the nearest hundredth?

x ≈ −0.23 and x ≈ 2.23
x ≈ 1.71 and x ≈ 0.29
x ≈ −0.45 and x ≈ 4.45
No real solutions

Using graphing technology, approximate the solutions of 0.55x2 − 0.33x − 5.6 = 0.

x ≈ −2.91 and x ≈ 3.51
x ≈ −3.14 and x ≈ 3.81
x ≈ −2.76 and x ≈ 3.62
x ≈ −2.61 and x ≈ 3.84

Using graphing technology, approximate where the graph of y = 2x2 − 8x − 5 crosses the x-axis.

(4.55, 0) and (−0.55, 0)
(4.23, 0) and (−0.46, 0)
(4.32, 0) and (−0.49, 0)
(4.48, 0) and (−0.51, 0)

Answer 9

DOES MY THING MAKE ANY SENSE AT ALL