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LuckyWell [14K]
3 years ago
14

A student is given the problem: x^3+7x+9. Which of the following statements is false? A. Completing the square cannot be used to

solve the given equation. B. Completing the square can only be used to solve a quadratic equation. C. Completing the square can be used to solve the given equation. D. Completing the square cannot be used because of the x^3 term.
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0

Answer:

  <u>False</u>: C. Completing the square can be used to solve the given equation.

Step-by-step explanation:

First of all, no equation is given. Any answer that suggests a way of finding solutions to the given equation will be false.

The statement of B is debatable. The method of completing the square is most often used for quadratics, but might reasonably be applied in any situation where a perfect square can be created by regrouping the terms.

Statements A and D essentially say the same thing. Both are true. That fact makes statement C false. Statement C is the one you're looking for.

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The equation shown below involves a perfect square trinomial. 4x2 + 20x + 25 = 7 Which of the following is a step in solving thi
fomenos
4 x^2 + 20 x + 25 = 7
Divide both sides by 4:
x^2 + 5 x + 25/4 = 7/4
Write the left-hand side as a square:
(x + 5/2)^2 = 7/4
Take the square root of both sides:
x + 5/2 = sqrt(7)/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
x = sqrt(7)/2 - 5/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
Answer:  x = sqrt(7)/2 - 5/2 or x = -5/2 - sqrt(7)/2
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3 years ago
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HELP!! 70 points will be given!<br> Picture included
kkurt [141]

Answer: a) -13/16

Step-by-step explanation: Start by setting equations equal and rearrange X^3 - x^2 + 1 = 0. Visual inspection of graph shows x between -1 and -1/2. Start with x = 3/4 plug in and calculate: just a little too small. Try going halfway towards -1: x =-7/8 Plug in and the answer is very far from 0. Go halfway back towards -3/4: -13/16 and the equality is very close.

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