Step-by-step explanation:
We have:
x - y = 43 , xy = 15
To find, the value of x^2+y^2x
2
+y
2
= ?
∴ x - y = 43
Squaring both sides, we get
(x - y)^2(x−y)
2
= 43^243
2
⇒ x^2+y^2x
2
+y
2
- 2xy = 1849
Using the algebraic identity,
(a - b)^2(a−b)
2
= a^2+b^2a
2
+b
2
- 2ab
⇒ x^2+y^2x
2
+y
2
= 1849 + 2xy
Put xy = 15, we get
x^2+y^2x
2
+y
2
= 1849 + 2(15)
⇒ x^2+y^2x
2
+y
2
= 1849 + 30
⇒ x^2+y^2x
2
+y
2
= 1879
∴ x^2+y^2x
2
+y
2
= 1879
I will send hint follow this hint then slove it .
thankyou
16/2
According to PEMDAS
Multiplying/dividing comes first when you read the equation from left to right
Gabby has a goal to finish covering the field before 12 hours have
elapsed.
Explain why Gabby will be able to meet her goal by working at this rate. As
part of the explanation, determine the amount of time, in hours, Gabby
will have to water the field.
Answer:
To help in solving exponential equations when relating the bases cannot be used
Step-by-step explanation:
Recall an equation of the form
from the expression 
, 
is the base and the power is 
.
it is impossible to carryout the operation since the bases are not equal.
This is where we implore the help of logarithm which help us to bring the base to a come base i.e using the property below
.
Hence we can conclude that logarithm helps in solving equations when bases cannot easily be related.
