Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
Answer:
x=106
Step-by-step explanation:
Let's solve your equation step-by-step.
−12+x−34=60
Step 1: Simplify both sides of the equation.
−12+x−34=60
−12+x+−34=60
(x)+(−12+−34)=60(Combine Like Terms)
x+−46=60
x−46=60
Step 2: Add 46 to both sides.
x−46+46=60+46
x=106
Answer:
-1
Step-by-step explanation:
the exponent tells you how many times to multiply the base number by itself.
for 35 the base number or base is 3 and the exponent is 5
the value is 3 x 3 x 3 x 3 x 3 which has 3 multiplied by itself five times
So your question is going in the opposite direction.
Rather than going from a power and expanding it, we have the expanded form and we are asked to write the power
3 x 3 x 3 is written 33
