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3 years ago

Solve for x. Write the smaller solution first, and the larger solution second.

Mathematics

2 answers:

vekshin13 years ago

6 0

Answer:

x=-4.73 x=-1.27

Step-by-step explanation:

(x + 3)^2 - 3 = 0

Add 3 to each side

(x + 3)^2 - 3 +3= 0+3

(x + 3)^2 = 3

Take the square root of each side

sqrt((x + 3)^2) =±sqrt( 3)

(x + 3) =±sqrt( 3)

Subtract 3 from each side

x + 3-3 =-3±sqrt( 3)

x = -3±sqrt( 3)

Approximating to 2 decimal places

x=-1.27 x=-4.73

Fynjy0 [20]3 years ago

4 0

Answer:

x = -4.73, -1.27

Step-by-step explanation:

(x + 3)² - 3 = 0

(x + 3)² = 3

(x + 3) = +/- sqrt(3)

x = -3 +/- sqrt(3)

x = -4.73, -1.27

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jolli1 [7]

Answer:

4 different answers

Step-by-step explanation:

[(24/3) + (5*2^2)] = 28

[(3 + 5) * 2^2 )]/24 = 32/24 = 4/3

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3 years ago

Read 2 more answers

Convert the measurements as indicated 4^1/4 ft to inches

Nadya [2.5K]

Answer:

Step-by-step explanation:

if it is (4)^(1/4) ft.

$4^{\frac{1}{4} } =(2^2)^{\frac{1}{4} }\\=2^{\frac{2}{4} }\\=\sqrt{2} ft\\=12\sqrt{2} ~inches.\\\approx 16.97 inches$

if it is (4^1)/4

then

$\frac{4^1}{4} =\frac{4}{4} =1 ~ft=12~inches$

3 0

3 years ago

The incline of a roller coaster is 2 times as long as its elevation, and the horizontal length of the roller coaster is 11 m mor

Gelneren [198K]

Let
x-------> t<span>he horizontal length of the roller coaster
y------> </span>the elevation of the roller coaster
c------> t<span>he incline of a roller coaster
</span>
we know that
applying the Pythagoras theorem
c²=x²+y²-----> equation 1
c=2y-----> equation 2
x=11+y----> equation 3

substitute equation 2 and equation 3 in equation 1
[2y]²=(11+y)²+y²
4y²=11²+22y+y²+y²
2y²-22y-121=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is
y=15.026 m

c=2*y-----> c=2*15.026----> c=30.052 m

the answer is
30.05 m