Given:
1 answer:
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Answer:
x ≈ - 6.74, 0.74
Step-by-step explanation:
x² + 6x - 5 = 0 ( add 5 to both sides )
x² + 6x = 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 5 + 9
(x + 3)² = 14 ( take square root of both sides )
x + 3 = ± ( subtract 3 from both sides )
x = - 3 ±
Then
x = - 3 - ≈ - 6.74 ( to the nearest hundredth )
x = - 3 + ≈ 0.74 ( to the nearest hundredth )
Answer:
I do not agree because Mario's claim is not general.
Step-by-step explanation:
Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.
And a denominator is the divisor in a given fraction.
Considering the following fractions whose denominators are prime numbers:
= 0.66666666...
= 0.142857142
= 0.45454545...
= 0.23076923
= 0.142857142
It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.