Question

Which statement concerning the equation x^2+1=2x is true?
Its discriminant is -8, so its solutions are negative. Its discriminant is 0, so it has one real solution.
Its discriminant is 0, so it has no solution.
Its discriminant is -8, so it has two complex solutions.

Answer 1

Rewrite the equation:

-2x^2 - 3x + 8 = 0

2x^2 + 3x -8 =0

Where a=2, b=3 and c=-8

Then b^2 - 4ac = 3^2 - 4(2)(-8) = 9 + 64 = 73

A positive discriminant implies that the equation has two different real solutions.

Answer: the discriminant is 73, so the equation has 2 real solution

Answer 2

\(\color{#0cbb34}{\text{Originally Posted by}}\) @smackz
Rewrite the equation:

-2x^2 - 3x + 8 = 0

2x^2 + 3x -8 =0

Where a=2, b=3 and c=-8

Then b^2 - 4ac = 3^2 - 4(2)(-8) = 9 + 64 = 73

A positive discriminant implies that the equation has two different real solutions.

Answer: the discriminant is 73, so the equation has 2 real solution
\(\color{#0cbb34}{\text{End of Quote}}\)
ok thnx

Answer 3

Please realize that the equation smackz has used is not the equation that DK4L asked for


but the theory / ideas / steps are the same

Answer 4

DK4L, "2 real solutions" is NOT your answer btw

Answer 5

oh

Answer 6

smackz used the equation: 2x^2 + 3x -8 =0

which is not what you wanted

Answer 7

oh so what is the answer?

Answer 8

x^2+1=2x

can be rearranged to look like:
x^2 - 2x + 1 = 0

This matches up with the "standard form" of quadratic equations: ax^2 + bx + c = 0

Which means that a=1 , b=-2, and c=1

What do you get if you plug in a, b, and c into the formula for the discriminant?
b^2 - 4ac

Answer 9

yeahhhhhh ok i get it now

Answer 10

Ok, if you would like for me to double check your answer, just let me know

Answer 11

Oh K

Answer 12

ight i got it thanks

Answer 13

@dude move to correct subject please