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Harlamova29_29 [7]
3 years ago
15

What are the solutions of the quadratic equation 49x^2=9?

Mathematics
1 answer:
Flauer [41]3 years ago
5 0
<span>Simplifying 49x^2 + -9 = 0
Reorder the terms: -9 + 49x^2 = 0
Solving -9 + 49x^2 = 0 Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation. -9 + 9 + 49x^2 = 0 + 9
Combine like terms: -9 + 9 = 0 0 + 49x^2 = 0 + 9 49x^2 = 0 + 9
Combine like terms: 0 + 9 = 9 49x^2 = 9
Divide each side by '49'. x^2 = 0.1836734694
Simplifying x^2 = 0.1836734694
Take the square root of each side: x = {-0.428571429, 0.428571429}

hope this helps!!</span>
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Answer:

Seems like someone answered them, because the red writing is right, but here's the answers with explanation

Step-by-step explanation:

  • The vertex is the point at which the graph changes direction as we go from left to right.
  • Maximum means the graph is changing direction and going down, so the f(x)-values start becoming smaller. So the graph reached its maximum/highest point and dropped.
  • Minimum means the graph is changing direction and going up, so the f(x)-values start becoming bigger. So the graph reached its minimum/lowest point and started rising
  • Now the answers:
  1. Vertex is (-1,0) because if you look at the numbers for f(x) they go, 4 then 1, then 0, but instead of getting smaller they start getting bigger, so it changes as this point and goes up so <em>minimum</em>
  2. vertex is (3,44), when you look at f(x) it goes 143, then 88, then 55, then 44, then it changes and starts getting bigger so <em>minimum</em>
  3. vertex is (-4,-5) but this one is different from the first two. f(x) starts with -17 then -9, then -5, then it sort of stops and stays there, then -5 then drops and gets smaller. So it changes at x=-4 so use this point, immediately before the change and it is <em>maximum</em>
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  6. vertex is (0.5,5) because it was getting big then changed and started getting smaller so <em>maximum</em>
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Step-by-step explanation:

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Answer:

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Gemiola [76]

Answer:

the solution for x will be given by  {x| -13 < x < 13}

Therefore the correct option is B.

Step-by-step explanation:

i) given that |x| < 13

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iii) for negative values of x we have -x < 13

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iv) from ii) and iii) above we can conclude that the solution for x will be given by {x| -13 < x < 13}

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