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Calculus
The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.
25,068 Questions
X2 plus 5x plus 7 equals 0 what is the solution?
x2 + 5x + 7 = 0; a = 1, b = 5, c = 7; D = b2 - 4ac = 52 - 4(1)(7) = 25 - 28 = -3
x = (-b +&- sq. root of D)/2a
x = (-5 +&- sq. root of -3)/2
x = [-5 +&- (sq. root of 3)i]/2
4x + 13 = 76 - 5x
Add 5x to both sides: 9x + 13 = 76
Subtract 13 from both sides: 9x = 63
Divide both sides by 9: x = 7
What is the solution to x2-6x plus 8 equals 0?
x2 - 6x + 8 = 0
x2 - 4x - 2x + 8 = 0
x*(x - 4) - 2*(x - 4) = 0
(x - 2)*(x - 4) = 0
so (x - 2) = 0 or (x - 4) = 0
ie x = 2 or x = 4
How do you find x when you have 7x and 4 x plus 36 equals to?
That depends on the value of x in the given expression
1 meter could be equal to 100cm (centimetres) and 1000mm (milimetres) dont know about inches though, sorry. xx
Original definition: A ten millionth of the distance from the north pole to the equator, passing through france.
What is the x-intercept of 3x plus 4y equals 12?
Just by inspection it looks like 4. Let's check.
3X + 4Y = 12
4Y = -3X + 12
Y = -3/4X + 3
0 out the Y
-3/4X + 3 = 0
-3/4X = -3
X = 4
-------------is the X intercept
How do you solve 2x plus 6x minus 3 equals 13?
2X + 6X - 3 = 13
add 2X and 6X together
8X - 3 = 13
add 3 to each side
8X - 3 + 3 = 13 + 3
8X = 16
divide both sides integers by 8
(8/8)X = 16/8
X = 2
----------------check in original equation
2(2) + 6(2) - 3 = 13
4 + 12 - 3 = 13
13 = 13
checks
How do you solve this math problem a squared plus 2a minus 15 equals 0?
a2 + 2a - 15 = 0
This can be factorised:
a2 + 2a - 15 = (a - 3)(a + 5) = 0
So a = 3 and -5.
A more robust way is to shove it into the general solution:
If αx2 + βx + η = 0, then x = (-β ± √(β2 - 4αγ)) / 2α
So if a2 + 2a - 15 = 0, then:
a = (-2 ± √(22 - 4*1*-15)) / 2*1
a = (-2±√(64))/2 = (-2±8)/2
a = -10/2, 6/2
a = -5, 3
3y - 7 = y + 1
(Take away 1 from both sides)
3y - 8 = y
(Take away y from both sides)
2y - 8 = 0
(Add 8 to both sides)
2y = 8
(Divide both sides by 2)
y = 4
How do you solve for x on both sides of the equation?
You add or subtract some quantity on both sides of the equation, so that you only have "x" on one side of the equation. Example:
4x + 3 = 2x - 5
Subtract 2x on each side, this leaves you:
4x - 2x + 3 = 2x - 2x -5
2x + 3 = -5
What is x-2y equals 0 in 4x-3y equals 15?
eq. 1 is x-2y=0
which means x=2y
eq. 2 is 4x-3y=15
subst. x=2y in eq. 2
4(2y)-3y=15
8y-3y=15
5y=15
y=3
subst. y=3 in eq. 1 we get
x=2(3)
x=6
Ans: x=6 and y=3 is the required solution.
Thank you.
Question: 4b - 5 = -t
step 1: add 5 to both sides
now it's: 4b = 5 - t
step 2: divide both sides by 4
answer: b = ( 5 - t ) / 4
notes: The trick with this kind of problem is to isolate the variable that you are trying to solve for, in this case "b." Adding 5 to both sides isolates "b" and dividing by 4 gives the final answer.
