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
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Answer:
90
Step-by-step explanation:
Answer:
"subtracting b, then dividing by m"
Step-by-step explanation:
To solve for a particular variable, look a the operations that are being performed on that variable. Then "undo" those operations in reverse order.
Here, the operations done to x are ...
• multiply by m
• add b to the product
Using the above recipe, first we "undo" the additon of b. We accomplish that by subtracting b from both sides of the equation. This gives ...
y - b = mx + b - b
y - b = mx . . . . . . . . . simplify
Next, we "undo" the multiplicatin by m. We accomplish that by dividing both sides of the equation by m.
(y -b)/m = mx/m
(y -b)/m = x . . . . . . . . simplify
This is your solution for x:
x = (y - b)/m
We found it by subtracting b, then dividing by m on both sides of the equation.
That would be the cube root of (x+5)^11.
If desired, this could be reduced to the cube root of (x+5)^9*(x+5)^2, which would be
(x+5)^3*(x+5)^(2/3)
