Solve x2 + 8x − 3 = 0 using the completing-the-square method
1 answer:
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The absolute value of 8 that is |8| is equal to 8.
We have given that,
|8|
We have to determine the value of |8|.
<h3>What is the absolute value?</h3>The absolute value or modulus of a real number x denoted |x|, is the non-negative value of x without regard to its sign. Namely, if x is a positive number, and
if x is negative, and
.
Absolute values only find the true distance of a number from 0. Distance is always positive, so the absolute value of anything is always positive.
|8| = 8
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The solution is x=1 and y=-2
Further explanation:
Given equations are:
Multiplying equation no. 1 with 2 will give us:
Eqn 3
From equation no 2:
Putting the value of y in eqn 3
The solution is x=1 and y=-2
Keywords: Linear equations, Solution set
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The statement is false, as the system can have no solutions or infinite solutions.
<h3>Is the statement true or false?</h3>
The statement says that a system of linear equations with 3 variables and 3 equations has one solution.
If the variables are x, y, and z, then the system can be written as:
Now, the statement is clearly false. Suppose that we have:
Then we have 3 parallel equations. Parallel equations never do intercept, then this system has no solutions.
Then there are systems of 3 variables with 3 equations where there are no solutions, so the statement is false.
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