The least common multiple (LCM) can be determined by factoring out the terms first,
165xy = (3)(11)(5)(x)(y)
77x³y = (7)(11)(x)(x)(x)(y)
Copy the factors writing off the repeated factors only once,
LCM = (3)(11)(5)(x)(y)(7)(x)(x)= 1155x³y
The answer is 1155x³y (first choice)
Answer: x = the quantity of 5 plus or minus the square root of 29 all over 2
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 5x - 1 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the given quadratic equation,
a = 1
b = - 5
c = - 1
Therefore,
x = [- - 5 ± √(- 5² - 4 × 1 × - 1)]/2 × 1
x = [5 ± √(25- - 4)]/2
x = [5 ± √29]/ 2
x = ( 5 + √29)/- 2 or x = (5 - √29)/2
(-6,7) since it’s the x axis you just change the sign of the y and keep x the same