Which quadratic function has a bigger positive solution?

f(x)=2x^2-32 g(x)=12x^2-48 h(x)=100x^2

explain your answer.

h(x)=100x^2

Hope this helped :D

Simplifying

x = 100x2

Solving

x = 100x2

Solving for variable 'x'.

Combine like terms: 100x2 + -100x2 = 0

x + -100x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.

x(1 + -100x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor '(1 + -100x)' equal to zero and attempt to solve:

Simplifying

1 + -100x = 0

Solving

1 + -100x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -100x = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -100x = 0 + -1

-100x = 0 + -1

Combine like terms: 0 + -1 = -1

-100x = -1

Divide each side by '-100'.

x = 0.01

Simplifying

x = 0.01

Solution

x = {0, 0.01}Simplifying

x = 100x2

Solving

x = 100x2

Solving for variable 'x'.

Combine like terms: 100x2 + -100x2 = 0

x + -100x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.

x(1 + -100x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor '(1 + -100x)' equal to zero and attempt to solve:

Simplifying

1 + -100x = 0

Solving

1 + -100x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -100x = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -100x = 0 + -1

-100x = 0 + -1

Combine like terms: 0 + -1 = -1

-100x = -1

Divide each side by '-100'.

x = 0.01

Simplifying

x = 0.01

Solution

x = {0, 0.01}

a negative exponent is translated as follows:

so, we have

a. -0.3 > -0.33