Solve using the quadratic formula. 2x2 - 5x - 10 = 0

2x^2 - 5x - 10 = 0    (Use " ^ " to denote exponentiation, please.)

a = 2; b = -5; c = -10, and so the discriminant, b^2-4ac, is 25-4(2)(-10) = 105.

The roots are:

       -(-5) plus or minus √105          5 plus or minus √105

x =  =  

                        4                                              4

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

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!