# How do you solve #h^2+48=16h#?

##### 2 Answers

See a solution process below:

#### Explanation:

First, subtract

Now, we can use the quadratic equation to solve this problem:

The quadratic formula states:

For

Substituting:

The Solution Set Is:

Another method is to factor the quadratic as:

The solve each term on the left for

**Solution 1:**

**Solution 2:**

The Solution Set Is:

#### Explanation:

#"rearrange equation into "color(blue)"standard form"#

#rArrh^2-16h+48=0larrcolor(blue)"in standard form"#

#"the factors of + 48 which sum to - 16 are - 12 and - 4"#

#rArr(h-12)(h-4)=0#

#"equate each factor to zero and solve for h"#

#h-12=0rArrh=12#

#h-4=0rArrh=4#

#rArrh=12" or "h=4" are the solutions"#