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Naddika [18.5K]
2 years ago
11

The solution set for 7q2 − 28 = 0 is (Separate the solutions with a comma)

Mathematics
2 answers:
professor190 [17]2 years ago
6 0

Answer:

Solution set for the equation is {2, (-2)}.

Step-by-step explanation:

The given equation is 7q² - 28 = 0

Now we add 28 on both the sides of the equation.

7q² - 28 + 28 = 0 + 28

7q² = 28

divide the equation by 7,

\frac{7q^{2} }{7}=\frac{28}{7}

q^{2}=4

\sqrt{q^{2}} = ±\sqrt{4}

q = ± 2

Or q = 2, (-2)

Solution set for the equation is {2, (-2)}.

SCORPION-xisa [38]2 years ago
4 0
<span>7q^2 − 28 = 0
</span>7q^2<span> = 28
</span>q^2<span> = 28/7
</span>q^2<span> = 4
</span>q^2= 2^2
<span>q=+ 2 and q = -2 
hope that helps

</span>
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The error made by zacharias in solving the quadratic equation 0 = -2x² + 5x - 3 using quadratic formula is; the 2 in the numerator should be –2.

<h3>Quadratic equation</h3>

There are four methods of solving quadratic equation. Namely;

  • Factorization method
  • Completing the square method
  • Graphical method
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0 = -2x² + 5x - 3

  • Using quadratic formula

x = -b ± √b² - 4ac / 2a

where,

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  • b = 5
  • c = -3

x = -b ± √b² - 4ac / 2a

x = -5 ± √5² - 4(-2)(-3) / 2(-2)

= -5 ± √25 - (24) / -2

= -5 ± √1 / -2

= -5/2 ± 1/2

= -5/2 - 1/2 or x = -5/2 + 1/2

= -5-1 / 2 or -5+1/ 2

x = -6/2 or -4/2

x = -3 or -2

Therefore, the solution to the quadratic equation is x = -3 or -2

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What is the recursive rule for the sequence 2, -1, 1/2 , -1/4
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Answer:

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Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

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They are all equal to \frac{-1}{2}.

So we are saying:

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More formally:

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Multiply both sides by a_{n-1}:

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When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

a_n=\frac{-1}{2}a_{n-1}

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