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JulijaS [17]
3 years ago
8

The equation 3x2 = 6x – 9 has two real solutions True O False

Mathematics
2 answers:
devlian [24]3 years ago
3 0

Answer:

False

Step-by-step explanation:

We first write the equation in the form ax² + bx + c=0 which gives us:

3x² - 6x + 9=0

Given the quadratic formula,

x= [-b ±√(b²- 4ac)]/2a ,the discriminant proves whether the equation has real roots or not.

The discriminant, which is the value under the root sign, may either be positive, negative or zero.

Positive discriminant- the equation has two real roots

Negative discriminant- the equation has no real roots

Zero discriminant - The equation has two repeated roots.

In the provided equation, b²-4ac results into:

(-6)²- (4×3×9)

=36-108

= -72

The result is negative therefore the equation has no real solutions.

Maru [420]3 years ago
3 0

Answer: FALSE

Step-by-step explanation:

Rewrite the given equation in the form ax^2+bx+c=0, then:

3x^2 = 6x - 9\\3x^2-6x +9=0

Now, we need to calculate the Discriminant with this formula:

D=b^2-4ac

We can identify that:

a=3\\b=-6\\c=9

Then, we only need to substitute these values into the formula:

 D=(-6)^2-4(3)(9)

 D=-72

Since D the equation has no real solutions.

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drek231 [11]

Answer:

16.17684994

Step-by-step explanation:

First diagonal

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x^2 = 5^2 + 6^2

x^2 = 61

x ≈ 7.810249676

Second diagonal

x^2 = a^2 + b^2

x^2 = 7.810249676^2 + 3^2

x^2 = 70

x ≈ 8.366600265

Sum of both diagonals

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6 0
3 years ago
Calculate:|a|−|b|+|c|, if a=−8; b=−5; c=1
Fynjy0 [20]

Answer:

The answer is 4.

Step-by-step explanation:

8 0
3 years ago
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Shtirlitz [24]

Answer:

d=5.656854

Step-by-step explanation:

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7 0
3 years ago
Marcus states that the polynomial expression 3x3 – 4x2y + y2 + 2 is in standard form. Ariel states that it should be y2 – 4x2y +
lora16 [44]

Answer:

Here Ariel is wrong because 3x^3 is higher power than y^2

3x^3 goes first

then the mixed term -4x^2y

then the y^2

then the 2

So, Marcus is right

Standard form means that you write the terms by descending degree. here's main rules how to write polynomial expression in the standard form:

1. write the term with the highest exponent first (terms of third degree in our case 3x^3 );

2. write the terms with lower exponents in descending order (term -4x^2y followed by y^2 );

3. remember that a variable with no exponent has an understood exponent of 1 (here are no such terms);

4. a constant term (a number with no variable) always goes last (term 2).

4 0
3 years ago
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My last 2 math questions I need help on.
V125BC [204]
35. To find the solution to this problem, we need to add up all of the juice. 

5 3/4 + 4 1/2 + 2 3/4 = 13

The answer for this question would be C.


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7 * 12 = 84
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The answer is 84. 

Hope this helps! 
3 0
3 years ago
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