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inn [45]
4 years ago
10

What are the solution(s) to the quadratic equation 9x2 = 4?

Mathematics
2 answers:
Advocard [28]4 years ago
6 0

Answer:

x=\frac{2}{3}\\x=-\frac{2}{3}

Step-by-step explanation:

To solve the problem shown, you can apply the proccedure shown below:

- Divide both sides of the equation by 9, as following:

\frac{9x^{2}}{9}=\frac{4}{9}\\\\x^{2}=\frac{4}{9}

- Apply square root to  both sides of the equation, then you obtain the solution shown below:

\sqrt{x^2}=\sqrt{\frac{4}{9}}\\\\x=\frac{2}{3}\\x=-\frac{2}{3}

kumpel [21]4 years ago
5 0

Answer:

x = 2/3   and x = -2/3

Step-by-step explanation:

We have given equation:

9x² = 4

We have to find the solution of this equation.

multiplying 1/9 to both sides we get,

x² = 4/9

Taking square root on both sides we get,

x =  √4/9

x = ±2/3  is the values of x.

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mestny [16]
It makes a rectangle if graphed.

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5 0
3 years ago
Which set of side lengths form a right triangle?
mario62 [17]

Answer:

8 in., 17., and 4 in is possible of a right triangle

Hope it helps. Good luck with your grades and Aunt.

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8 0
3 years ago
What is the root of the polynomial equation *(x-2)(x+3) - 18? Use a graphing calculator and a system of
zysi [14]

Answer:

Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.

This gives you: 1 - 4 - 7 + 10 = 0.

Because 0 = 0 is a true statement, you know that x = 1 is a solution.

Step-by-step explanation:

Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.

This gives you: 1 - 4 - 7 + 10 = 0.

Because 0 = 0 is a true statement, you know that x = 1 is a solution.

5 0
3 years ago
Read 2 more answers
Triangle PQR and triangle XYZ are similar. The length of PQ= 4 inches, PR = 9 inches and QR = 12 inches. The length of the short
defon

<em><u>Simplified </u></em><em><u>Recap:</u></em>

PQR and XYR are similar.

PQ: 4 inches (shortest side)

PR: 9 inches

QR: 12 inches (longest side)

<em><u>Solving:</u></em>

Because they are similar triangles, we know that the sides of one triangle are proportional to the ones on the other. Therefore, the smallest side of PQR is proportional to the smallest side of XYZ. Now, we just need to figure out the constant of proportionality , and we can do that by dividing the smallest side of XYZ triangle by the smallest side of PQR.

16 \div 4 = 4

Now we know that the constant of proportionality is 4. All we have to do now is solve the problem. The question is asking what the longest side of XYZ is, and to find that we just need to multiply the longest side of PQR by our constant of proportionality.

12 \times 4 = 48

Therefore, our answer is 48.

8 0
3 years ago
Select the correct answer.
Airida [17]

Answer:

D. 2(x - 1)(x – 3)

Step-by-step explanation:

4(x2 – 2x) – 2(x2 – 3)

We would first of all expand the expression given

This becomes

= 4x2 - 8x - 2x2 + 6

Rearrange to enable us simplify

4x2 - 2x2 - 8x + 6

= 2x2 - 8x + 6

Factorize

2 (x2 - 4x + 3)

factorizing further using the factors of 3 that add up to -4

2(x2 - x - 3x + 3)

pick out the common factors

2(x(x-1) -3(x-1)

2(x-1)(x-3)

Option D. 2(x - 1)(x – 3) is right

7 0
3 years ago
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