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3 years ago

X2+5x=3x+11 and solve by completing the square

1 answer:

7 0

$x^2+5x=3x+11\\
x^2+2x-11=0\\
x^2+2x+1-12=0\\
(x+1)^2=12\\
x+1=\sqrt{12} \vee x+1=-\sqrt{12}\\
x=-1+2\sqrt3 \vee x=-1-2\sqrt3$

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Step-by-step explanation:

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3 years ago

A 55m and 35m broad park is surrounded by a 2.5m wide path.

daser333 [38]

Step-by-step explanation:

☄ $\underline {\underline{ \text{Given}}} :$

Length of a park ( l ) = 55 m
Breadth of a park ( b ) = 35 m
Width running outside the park ( d ) = 2.5 m
Rate of paving the path with stones = Rs 120 per sq.metre

☄ $\underline{ \underline{ \text{To \: find}}}:$

Area of the park
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☄ $\underline{ \underline{ \text{Solution}}} :$

Part 1 : $\boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}$

plug the known values and simplify :

⟹ $\sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}$

⟹ $\sf{5 \times 95}$

⟹ $\sf{475 \: {m}^{2} }$

Part 2 : $\boxed{ \sf{Total \: cost = Area \: of \: paths \: \times Rate}}$

⟹ $\sf{475 \times 120}$

⟹ $\sf{Rs \: 57000}$

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Hope I helped ! ♡

Have a wonderful day /night ツ

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3 years ago

A2 = -8 and a5 = -512 Find a10

yawa3891 [41]

Answer:

The value of a₁₀ is -1352

Step-by-step explanation:

a₂ = -8

a₅ = -512

Now,

a₂ = -8 can be written as

a + d = -8 ...(1) and

a₅ = -512 can be written as

a + 4d = -512 ...(2)

Now, from equation (2) we get,

a + 4d = - 512

a + d + 3d = - 512

(-8) + 3d = - 512 (.°. a + d = -8)

3d = - 512 + 8

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + d = -8

a + (-168) = -8

a - 168 = -8

a = 168 - 8

a = 160

Now, For a₁₀

a₁₀ = a + 9d

a₁₀ = 160 + 9(-168)

a₁₀ = 160 - 1512

a₁₀ = -1352

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3 years ago

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Answer:

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Hey there,

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3 years ago

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