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1 answer:
Answer:
3. 3 and 4
4. 5 and 6
5. x=-3
Step-by-step explanation:
3. is between 3 and 4 because 3 is equal to
and 4 is equal to
. Since 11 is in between 9 and 16 this is the answer.
4. Same thing, except since 5 is and 6 is
, and 34 is between 25 and 36
5. The equation is -31=4x-19, and we need to isolate x
First, add 19 to both sides
And next divide both sides by 4 to get
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Answer:
x ≈ 1.32, x ≈ - 5.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± ( subtract 2 from both sides )
x = - 2 ±
Thus
x = - 2 - ≈ - 5.32 ( to 2 dec. places )
x = - 2 + ≈ 1.32 ( to 2 dec. places )