If (a+b)squared = 361 and ab =-120, calculate the value of a squared + b squared
(a+b)squared equal to a squared+2ab+b squared. Then you will know the answer!
To find the value of a squared + b squared, we can use the given information that (a+b)squared = 361 and ab = -120.
Let's start by expanding (a+b)squared:
(a+b)squared = a squared + 2ab + b squared
We can substitute the value of ab = -120:
(a+b)squared = a squared + 2(-120) + b squared
= a squared - 240 + b squared
Now, we can rearrange the equation to isolate a squared + b squared:
(a+b)squared = a squared - 240 + b squared
Since we know that (a+b)squared = 361, we can substitute this value into the equation:
361 = a squared - 240 + b squared
Next, we can rearrange the equation to isolate a squared + b squared:
a squared + b squared = 361 + 240
= 601
Therefore, the value of a squared + b squared is 601.
To solve this problem, we can start by expanding the equation (a + b)^2.
(a + b)^2 = a^2 + 2ab + b^2
Given that (a + b)^2 = 361 and ab = -120, we can substitute these values into the equation:
361 = a^2 + 2(-120) + b^2
361 = a^2 - 240 + b^2
Rearranging the equation, we get:
a^2 + b^2 = 361 + 240
a^2 + b^2 = 601
Therefore, the value of a^2 + b^2 is 601.