Solve the equation 2x2 – 13x + 14 = 0 to the nearest tenth.
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Answer:
Let the smallest digit, or the units' digit, be equal to x:
Tens' digit is four more, therefore:
x + 4 represents the tens' digit.
Hundreds' digit is 2 more than the tens' digit, so:
2 + (x + 4), or x + 6 represents the hundred's digit.
These all sum up to 13, so write an expression to represent this:
x + (x + 4) + (x + 6) = 13
Combine like terms:
3x + 10 = 13
Subtract 10 from both sides:
3x = 3
Divide both sides by 3:
x = 1
Find the digits using the rules listed above:
Hundreds' digit: (1) + 6 = 7
Tenths' digit: (1) + 4 = 5
Units' digit: 1 = 1
Therefore, the number is:
751.
Answer:
Step-by-step explanation:
Using foil method, Multiply the first term
Next, Multiply the Outer term in each parenthesis. (2x^2 and 7
Then, Multiply the Inner Terms (-3x,-4,7) in each parenthesis
Then multiply the last term (-4 and 7).
Combine it you have
which simplify to