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dedylja [7]
2 years ago
8

(2x+3)²=5.find the roots of the equation ​

Mathematics
1 answer:
bija089 [108]2 years ago
4 0

Answer:

-2.61803398875, -0.38196601125

or

(-3±√5)/2

Step-by-step explanation:

First, expand. (2x+3)² = 4x²+12x+9=5

4x²+12x+4 = 0

Quadratic equations take the form ax²+bx+c = 0

In this case,

a = 4

b = 12

c = 4

You can solve with the equation x=(-b±√b²-4ac)/2a

Plug in:

(-12±√144-64)/8

(-12±√80)/8

(-12±√2^4×5)/8

(-12±4√5)/8

(-3±√5)/2

Final answer x = (-3±√5)/2

If you want decimal form: -2.61803398875, -0.38196601125

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It’s says 2xy also i need help so pls help me!!*it easy ig but ifg*
xxTIMURxx [149]

2 \times x \times y
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8 0
3 years ago
Find the values of p and q such that 4x^2+12x=4(x+p)^2-q
-Dominant- [34]

Answer:

p = 1.5 and q = 9

Step-by-step explanation:

Expand the right side then compare the coefficients of like terms on both sides, that is

4(x + p)² - q ← expand (x + p)² using FOIL

= 4(x² + 2px + p²) - q ← distribute parenthesis

= 4x² + 8px + 4p² - q

Comparing coefficients of like terms on both sides

8p = 12 ( coefficients of x- terms ) ← divide both sides by 8

p = 1.5

4p² - q = 0 ( constant terms ), that is

4(1.5)² - q = 0

9 - q = 0 ( subtract 9 from both sides )

- q = - 9 ( multiply both sides by - 1 )

q = 9

7 0
3 years ago
After unloading 96 pounds of mulch from the truck, there were still 24 pounds
Dennis_Churaev [7]

Answer:

120

Step-by-step explanation:

To find the answer you just have to add 24 and 96 together to get 120.

4 0
2 years ago
What is the equation of the line, in point-slope form, that passes through the points (9, 1) and (4, 16)?
Marina86 [1]

The answer is y = -3x + 28

6 0
3 years ago
What is 22% expressed as a fraction in simplest form?
nata0808 [166]
<span>22% when expressed as a fraction is 22/100.
 to write this in the simplest form, we have to keep dividing both numerator and denominator by a common number.
22/100 , both are divisible by 2. therefore when 22/100 is divided by 2
</span>\frac{22/2}{100/2} =  \frac{11}{50}<span>
then we get 11/50. this cannot be divided any further by a common factor to both. therefore simplest form is 11/50</span>
6 0
3 years ago
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