Can somebody help me solve this problem .

b = 40

Step-by-step explanation:

You want your discriminant to be zero because then you have exactly one solution.

Solve b²-4ac = 0

=>

b² - 4·400 = 0

b = ±√1600

so b=±40

but f(-20) also has to be 0

so b=40 remains as the solution

b = 40

Step-by-step explanation:

If x = - 20 is a zero of f(x) then f(- 20) = 0 , that is

(- 20)² - 20b + 400 = 0

400 - 20b + 400 = 0

800 - 20b = 0 ( subtract 800 from both sides )

- 20b = - 800 ( divide both sides by - 20 )

b = 40

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