Help with algebra ii homework
Introduction:
Algebra is a branch of mathematics. Algebra plays an important role in our day to day life. Help with algebra ii homework gives us the practice in four basic operations such as addition, subtraction, multiplication and division. The most important terms for help with algebra ii homework are variables, constant, coefficients, exponents, terms and expressions. In help with algebra ii homework, we have to use algebra symbols and alphabets to put for unknown numbers to make a statement. Hence, help with algebra ii homework may be regarded as an extension of Arithmetic.
Example problems for help with algebra ii homework:
Example 1:
5x + 5y + z = 5 ------------------- (a)
5x - 5y - z = 5 ------------------- (b)
-5x - y + z = 7 ------------------- (c)
Solution:
We have to add (a) and (b)
5x + 5y + z = 5
5x - 5y - z = 5
---------------------
10x = 10 ( we have to divide both sides by 10)
`(10x) / 10 = 10 / 10`
x = 1
We have to add (b) and (c)
5x - 5y - z = 5
-5x - y + z = 7
-----------------------
-6y = 12 ( we have to divide both sides by -6)
`(-6y) / -6= 12/ -6`
y = -2
Replace x = 1 and y = -2 in (a)
5(1) + 5(-2) + z = 5
5– 10 + z = 5
-5+ z = 5 ( we have to add 5 on both sides)
5– 5+ z = 5 + 5
z = 10
Therefore, the answer is x = 1, y = -2 and z = 10
Example 2:
Use quadratic formula for solving x2 + 5x + 5=0
Solution:
Here a = 1, b = 5 and c = 5
Discriminant: b2-4ac = 52-4*1*5 = -5
Discriminant (5) is greater than zero.
x =`(-b+-sqrt(b^2-4ac))/(2a)`
x =`(-5+-sqrt(5^2-4*1*5))/(2*1)`
x1,2 = `(-5 +- (-2.2)) / 2*1`
x1 = `-7.2/2 ` = -3.6
x2 = `-2.8 / 2` = -1.4
x1,2 = -3.6, -1.4
Example 3:
Use the factorization method for solving11 x2 + 13x + 2=0
Solution:
11x2 + 13x + 2=0
11x2 +11 x + 2x + 2 = 0
(11x2 + 11x) + (2x + 2) = 0
11x(x + 1) + 2(x + 1) = 0
(x + 1)(11x + 2) = 0
X + 1=0 and 11x + 2 = 0
X + 1 – 1 = 0 - 1 and 11x + 2 – 2 = 0 - 2
x=-1 and x=-.18
Therefore, x1,2=-1,-.18
Practice problems for help with algebra ii homework:
Problem 1:
x + 5 y + z = 5
5 x - y - z = 5
-5 x - y + z = 7
Answer: x = 17/3, y = -6, z = 88/3
Problem 2:
Solve the equation 12x2+14x+2=0 by using Quadratic Formula Solver.
Answer: x1 = -1, x2 = -.16
Problem 3:
algebra solvers 12x2+14x+2=0 by using factorizing method.
Answer: x1 = -1, x2 = -.16
Algebra is a branch of mathematics. Algebra plays an important role in our day to day life. Help with algebra ii homework gives us the practice in four basic operations such as addition, subtraction, multiplication and division. The most important terms for help with algebra ii homework are variables, constant, coefficients, exponents, terms and expressions. In help with algebra ii homework, we have to use algebra symbols and alphabets to put for unknown numbers to make a statement. Hence, help with algebra ii homework may be regarded as an extension of Arithmetic.
Example problems for help with algebra ii homework:
Example 1:
5x + 5y + z = 5 ------------------- (a)
5x - 5y - z = 5 ------------------- (b)
-5x - y + z = 7 ------------------- (c)
Solution:
We have to add (a) and (b)
5x + 5y + z = 5
5x - 5y - z = 5
---------------------
10x = 10 ( we have to divide both sides by 10)
`(10x) / 10 = 10 / 10`
x = 1
We have to add (b) and (c)
5x - 5y - z = 5
-5x - y + z = 7
-----------------------
-6y = 12 ( we have to divide both sides by -6)
`(-6y) / -6= 12/ -6`
y = -2
Replace x = 1 and y = -2 in (a)
5(1) + 5(-2) + z = 5
5– 10 + z = 5
-5+ z = 5 ( we have to add 5 on both sides)
5– 5+ z = 5 + 5
z = 10
Therefore, the answer is x = 1, y = -2 and z = 10
Example 2:
Use quadratic formula for solving x2 + 5x + 5=0
Solution:
Here a = 1, b = 5 and c = 5
Discriminant: b2-4ac = 52-4*1*5 = -5
Discriminant (5) is greater than zero.
x =`(-b+-sqrt(b^2-4ac))/(2a)`
x =`(-5+-sqrt(5^2-4*1*5))/(2*1)`
x1,2 = `(-5 +- (-2.2)) / 2*1`
x1 = `-7.2/2 ` = -3.6
x2 = `-2.8 / 2` = -1.4
x1,2 = -3.6, -1.4
Example 3:
Use the factorization method for solving11 x2 + 13x + 2=0
Solution:
11x2 + 13x + 2=0
11x2 +11 x + 2x + 2 = 0
(11x2 + 11x) + (2x + 2) = 0
11x(x + 1) + 2(x + 1) = 0
(x + 1)(11x + 2) = 0
X + 1=0 and 11x + 2 = 0
X + 1 – 1 = 0 - 1 and 11x + 2 – 2 = 0 - 2
x=-1 and x=-.18
Therefore, x1,2=-1,-.18
Practice problems for help with algebra ii homework:
Problem 1:
x + 5 y + z = 5
5 x - y - z = 5
-5 x - y + z = 7
Answer: x = 17/3, y = -6, z = 88/3
Problem 2:
Solve the equation 12x2+14x+2=0 by using Quadratic Formula Solver.
Answer: x1 = -1, x2 = -.16
Problem 3:
algebra solvers 12x2+14x+2=0 by using factorizing method.
Answer: x1 = -1, x2 = -.16