Answer:
a
Step-by-step explanation:
y=6x²+12x+2
y=4x²+16x+16
6x²+12x+2=4x²+16x+16
6x²-4x²+12x-16x+2-16=0
2x²-4x-14=0
x²-2x-7=0
x²-2x+1-1-7=0
(x-1)²=8
x-1=±√8=±2√2
x=1±2√2
x≈1±2.83
x≈3.83,-1.83
x=2√2 -1≈1.828≈1.83
-2xyz(xy + 3yz) = -2x^2 y^2 z - 6x y^2 z^2
Answer:
D = -9
Step-by-step explanation:
Solve for D:
D/3 + 10 = 7
Hint: | Put the fractions in D/3 + 10 over a common denominator.
Put each term in D/3 + 10 over the common denominator 3: D/3 + 10 = D/3 + 30/3:
D/3 + 30/3 = 7
Hint: | Combine D/3 + 30/3 into a single fraction.
D/3 + 30/3 = (D + 30)/3:
(D + 30)/3 = 7
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (D + 30)/3 = 7 by 3:
(3 (D + 30))/3 = 3×7
Hint: | Cancel common terms in the numerator and denominator of (3 (D + 30))/3.
(3 (D + 30))/3 = 3/3×(D + 30) = D + 30:
D + 30 = 3×7
Hint: | Multiply 3 and 7 together.
3×7 = 21:
D + 30 = 21
Hint: | Isolate terms with D to the left hand side.
Subtract 30 from both sides:
D + (30 - 30) = 21 - 30
Hint: | Look for the difference of two identical terms.
30 - 30 = 0:
D = 21 - 30
Hint: | Evaluate 21 - 30.
21 - 30 = -9:
Answer: D = -9
Answer:
4√15
Step-by-step explanation:
The geometric mean of x and y is √(xy).
So here we have:
√(12*20)
= √240
= √(16*15)
= √16√15
= 4√15.
Answer:
x=15/16
Step-by-step explanation:
Let's solve your equation step-by-step.
6−34x+13=12x+5
6+−34x+13=12x+5
Multiply all terms by x and cancel:
6x+−34+1x3=12+5x
193x+−34=5x+12(Simplify both sides of the equation)
193x+−34−5x=5x+12−5x(Subtract 5x from both sides)
43x+−34=12
43x+−34+34=12+34(Add 3/4 to both sides)
43x=54
(34)*(43x)=(34)*(54)(Multiply both sides by 3/4)
x=1516
Check answers. (Plug them in to make sure they work.)
x=1516(Works in original equation)
