Answer:
m = - 8 ± 6
Step-by-step explanation:
Given
m² + 16m - 8 = 0 ( add 8 to both sides )
m² + 16m = 8
To complete the square
add ( half the coefficient of the m- term )² to both sides
m² + 2(8)m + 64 = 8 + 64
(m + 8)² = 72 ( take the square root of both sides )
m + 8 = ±
= ±
= ± 6
Subtract 8 from both sides
m = - 8 ± 6
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Answer:
4√7
Step-by-step explanation:
5√7 + √7 - 2√7
Taking out common term, √7.
= √7 ( 5 + 1 - 2)
Simplify the terms in the bracket.
= √7 (4)
= 4 √7
Answer:
1 . An open sentence of the form Ax + By + C < 0 is a linear inequality.
2 . An equation containing more than one variable is a literal equation.
3 . A statement formed by two or more inequalities is a compound inequality.
Step-by-step explanation:
A linear Inequality contains one inequality sign (> or <) sign, In Ax + By + C < 0, Ax + By + C is less than 0.
A literal equation contains more than one variable and equates to a number. An example is Ax + By = 0.
A compound inequality uses OR and AND to join two linear inequalities. When AND is used, it indicates that the values of the variables are true in both inequalities.