How do you solve h^2+48=16hh2+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"rearrange equation into standard form
rArrh^2-16h+48=0larrcolor(blue)"in standard form"⇒h2−16h+48=0←in standard form
"the factors of + 48 which sum to - 16 are - 12 and - 4"the factors of + 48 which sum to - 16 are - 12 and - 4
rArr(h-12)(h-4)=0⇒(h−12)(h−4)=0
"equate each factor to zero and solve for h"equate each factor to zero and solve for h
h-12=0rArrh=12h−12=0⇒h=12
h-4=0rArrh=4h−4=0⇒h=4
rArrh=12" or "h=4" are the solutions"⇒h=12 or h=4 are the solutions