Step-by-step explanation:
Answer:
To find the value of a² + b², we need to use the given equations and solve for the values of a and b.
Given:
a + b = 5 ... equation 1
a - b = 2 ... equation 2
To find the values of a and b, we can solve these equations simultaneously.
Adding equation 1 and equation 2, we get:
(a + b) + (a - b) = 5 + 2
2a = 7
Dividing both sides of the equation by 2, we find:
a = 7 / 2
a = 3.5
Substituting the value of a into equation 1, we can solve for b:
3.5 + b = 5
b = 5 - 3.5
b = 1.5
Now that we have the values of a and b, we can calculate a² + b²:
a² + b² = (3.5)² + (1.5)²
= 12.25 + 2.25
= 14.5
Therefore, a² + b² is equal to 14.5.
If you have any further questions or require additional assistance, feel free to ask! I'm here to help.
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Answers & Comments
Step-by-step explanation:
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Answer:
To find the value of a² + b², we need to use the given equations and solve for the values of a and b.
Given:
a + b = 5 ... equation 1
a - b = 2 ... equation 2
To find the values of a and b, we can solve these equations simultaneously.
Adding equation 1 and equation 2, we get:
(a + b) + (a - b) = 5 + 2
2a = 7
Dividing both sides of the equation by 2, we find:
a = 7 / 2
a = 3.5
Substituting the value of a into equation 1, we can solve for b:
3.5 + b = 5
b = 5 - 3.5
b = 1.5
Now that we have the values of a and b, we can calculate a² + b²:
a² + b² = (3.5)² + (1.5)²
= 12.25 + 2.25
= 14.5
Therefore, a² + b² is equal to 14.5.
If you have any further questions or require additional assistance, feel free to ask! I'm here to help.
Step-by-step explanation:
can u plz mark me as a brainlist