- #1
abot
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HI, i can't solve this equation. I am solving for B the answer in the book does not match mine. PLZ help.
(1.5999A)^2= B^2 + A^2
the answer in the book is 1.247
(1.5999A)^2= B^2 + A^2
the answer in the book is 1.247
The equation is asking to find the value of A when given the value of B, in order for both sides to be equal.
This equation can be solved by using the Pythagorean Theorem, where (1.5999A)^2 represents the square of the hypotenuse and B^2 + A^2 represents the sum of the squares of the other two sides.
For example, if B = 3, then the equation becomes (1.5999A)^2= 3^2 + A^2. By using the Pythagorean Theorem, we can expand this to (1.5999A)^2= 9 + A^2. Then, we can solve for A by taking the square root of both sides, giving us A = 2.86.
Yes, A and B must both be positive numbers in order for the equation to make sense. Additionally, the value of A must be less than B in order for the equation to have a solution.
Yes, this equation can be solved algebraically by expanding the squares on both sides, simplifying the equation, and then solving for A. However, using the Pythagorean Theorem is a quicker and more straightforward approach.