What are the exact solutions of x2 - 3x - 1 = 0?

Step-by-step explanation:

the equation is:

you have a quadratic equation of the form:

where

this can be solved using the general formula:

substituting all the known values:

one value for x will be found using the plus sign before the square root:

and the other will be found using the negative sign before the square root:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions