5
While no definite answer can be derived from this, it can be simplified greatly. Consider the following: (√(25X))/5Y = (√(5 * 5 * X))/5Y = (5 *√(X))/5Y = √(X)/Y In summary, 25 can be removed from inside the square root and replaced with 5 outside of it. The 5 on the X and the 5 on the Y cancle each other out, and you are left with the square root of X over Y.
Y²-5Y+4=0 Y1=-(-5/2) - Square root of ((-5/2)²-4) Y1= 2.5 - Square root of 2.25 Y1 = 1 Y2=-(-5/2) + Square root of ((-5/2)²-4) Y2= 2.5 + Square root of 2.25 Y2 = 4 Y can be either 1 or 4
2/y + 1 + 3 + 5y
Determine the perfect square factors of the term. Then, reduce 'em! √(80x²y) = √(16 * 5 * x² * y) = 4x√(5y)
y2 - 15 = 10Add 15 to each side:y2 = 25Take the square root of each side:y = +5y = -5
X = 17.7 + 0.1y
5y=25x 25x=5y -5y 25x-5y=0
Simplify 5y = 25x - 15 by dividing each term by 5 to produce y = 5x - 3. By definition, the y-intercept of this equation is the value of y when x = 0, in this instance -3.
Y²-5Y+4=0 Y1=-(-5/2) - Square root of ((-5/2)²-4) Y1= 2.5 - Square root of 2.25 Y1 = 1 Y2=-(-5/2) + Square root of ((-5/2)²-4) Y2= 2.5 + Square root of 2.25 Y2 = 4 Y can be either 1 or 4
Substitution method: from first equation y = 5x - 8. In the second equation this gives 25x - 5(5x - 8) = 32 ie 25x - 25x + 40 = 32 ie 40 = 32 which is not possible, so the system has no solution. Multiplication method: first equation times 5 gives 25x - 5y = 40, but second equation gives 32 as the value of the identical expression. No solution.
No solution
2/y + 1 + 3 + 5y
That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (5 plus or minus the square root of 73) divided by 12. y = 1.128666978776461 y = -0.2953336454431275
Determine the perfect square factors of the term. Then, reduce 'em! √(80x²y) = √(16 * 5 * x² * y) = 4x√(5y)
y2 - 15 = 10Add 15 to each side:y2 = 25Take the square root of each side:y = +5y = -5
3x/7 + 5y/14x = 3x*2x/(7*2x) + 5y/14x = (6x2 + 5y)/14x
X = 17.7 + 0.1y
Area of square: 25y^2