Question

How many solutions are there for the equation? x2 + 16 = 8x


2


1


0

Answer 1

\[x^2+16x=8x\]
It's a quadratic
The highest power of x here in the equation is 2
so it has 2 soultions

Answer 2

1 in the real numbers. That's a repeated solution x = 4.

Answer 3

@Ash I have no idea what that mant.. but thanks.

Answer 4

@bmp is right as it's repeated roots so it'll have only one solution

Answer 5

x = 8/3

Answer 6

in such questions always simply check the Discriminant 'D'

\[D = b^2 - 4ac\]

where a, b, and c can be found out by comparing your quadratic with the std. equation,
\[ax^2 + bx +c\]


Now,

if D>0 --> means two real roots

if D=0 --> repeated roots, or one real root.

if D<0 -->No real roots.


So do the same for the question above.