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zvonat [6]
4 years ago
13

If the quadratic formula is used to solve 2x2 = 8x -3, what are the solutions

Mathematics
2 answers:
Nataly_w [17]4 years ago
7 0

Answer:

x = 2 ± \frac{1}{2}\sqrt{10}

Step-by-step explanation:

Given a quadratic equation in standard form : ax² + bx + c = 0

Then we can solve for x using the quadratic formula

Given

2x² = 8x - 3 ( subtract 8x - 3 from both sides )

2x² - 8x + 3 = 0 ← in standard form

with a = 2, b = - 8 and c = 3, hence

x = (- (- 8) ± \sqrt{(-8)^2-(4(2)(3)}) / 4

  = (8 ± \sqrt{64-24}) / 4

  = (8 ± \sqrt{40}) / 4

  = (8 ± 2\sqrt{10} ) / 4

  = \frac{8}{4} ± \frac{2\sqrt{10} }{4}

  = 2 ± \frac{1}{2}\sqrt{10}

 

seraphim [82]4 years ago
3 0

Answer:

2x2 = 8x-3

4 = 8x - 3 | +3

7=8x

x=7/8

Step-by-step explanation:

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exis [7]

Answer:

The answer is x2 - 3x - 8.

Step-by-step explanation:

5 0
3 years ago
I'll give brainliest to correct answer TvT
laila [671]
It’s 1.4 bc 2.9-1.5
7 0
3 years ago
Read 2 more answers
Jogging shoes listed at $70 were on sale for $45 what percent of the regular price for soup
OLEGan [10]
If you’re asking what percentage was taken off, it would be 31.5%. (70*.45=31.5)
7 0
4 years ago
Help! Pls I cant solve it help me with explanation also pls.
stich3 [128]

Given:

The expression is

\dfrac{2}{a-2}-\dfrac{8}{a^2-4}

To find:

The simplified form of the given expression.

Solution:

We have,

\dfrac{2}{a-2}-\dfrac{8}{a^2-4}

It can be written as

=\dfrac{2}{a-2}-\dfrac{8}{a^2-2^2}

=\dfrac{2}{a-2}-\dfrac{8}{(a-2)(a+2)}            [\because a^2-b^2=(a-b)(a+b)]

Taking LCM, we get

=\dfrac{2(a+2)-8}{(a-2)(a+2)}

=\dfrac{2a+4-8}{(a-2)(a+2)}

=\dfrac{2a-4}{(a-2)(a+2)}

=\dfrac{2(a-2)}{(a-2)(a+2)}

Cancel out the common factors.

=\dfrac{2}{a+2}

Therefore, the simplified form of the given expression is \dfrac{2}{a+2}.

7 0
3 years ago
A playground is rectangular with a length of 7/8miles. If the area of the playground is 8/20 square miles what is the width?
Stella [2.4K]
Length - 7/8 miles
Area - 8/20 miles

We know from the equation that Area = Length x Width. 
We need to rearrange so that Width = Area ÷ Length
Width = 8/20 ÷ 7/8
           = 8/20 x 8/7 
           = 16/35
Therefore, the width will be 16/35 miles.

5 0
3 years ago
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