Answer:
Step-by-step explanation:
we would like to solve the following equation for x:
to do so isolate to right hand side and change its sign which yields:
simplify Substraction:
get rid of only x:
simplify addition of the left hand side:
divide both sides by q+p Which yields:
cross multiplication:
distribute:
isolate -pq to the left hand side and change its sign:
rearrange it to standard form:
now notice we end up with a <u>quadratic</u><u> equation</u> therefore to solve so we can consider <u>factoring</u><u> </u><u>method</u><u> </u><u> </u>to use so
factor out x:
factor out q:
group:
by <em>Zero</em><em> product</em><em> </em><em>property</em> we obtain:
cancel out p from the first equation and q from the second equation which yields:
and we are done!
Answer:
The solutions to the quadratic equations will be:
Step-by-step explanation:
Given the expression
Let us solve the equation by completing the square
Add (-6)² to both sides
simplify
Apply perfect square formula: (a-b)² = a²-2ab+b²
i.e.
so the expression becomes
solve
add 6 to both sides
Simplify
also solving
add 6 to both sides
Simplify
Therefore, the solutions to the quadratic equation will be:
Step-by-step explanation:
1. 1*1/6= 1 /6=1.67
2. 9*7/10= 63/10= 6.3
3. 7*4/8= 28/8= 3.5
4. 1/2 of 2= 1/2*2= 0.5*2= 1
5. 1/12 of 2= 1/12*2= 8.33*2= 16.66
6.2/6 of 2= 2/6*2= 3.33*2= 6.66
7. 1/3 of 5= 1/3*5= 3.33*5= 16.65
8. 3/10 of 8= 3/10*8= 0.3*8= 2.4
Hope it's help you ♥️
Answer:
ok
Step-by-step explanation: