Solve this for Brainliest!See the attachment [Level - GCSE]

Mathematics

2 answers:

dem82 [27]2 years ago

5 0

Answer:

$x=3+4\sqrt{3}$

Step-by-step explanation:

I agree with the another person's steps.

madreJ [45]2 years ago

3 0

Answer:

$x = 3 + 4\sqrt{3}$

Step-by-step explanation:

OPQ is a right angle triangle.

Using Pythagoras

$x^{2} + (x+5)^{2} = (x+8)^{2}\\x^{2} + x^{2} + 10x +25 = x^{2} + 16x + 64\\x^{2} + x^{2} - x^{2} + 10x - 16x + 25 - 64 = 0\\x^{2} - 6x -39 = 0$

Using quadratic formula

$x = \frac{-b \± \sqrt{b^{2}-4ac}}{2a}\\x = \frac{-(-6) \± \sqrt{(-6)^{2}-4(1)(-39)}}{2(1)}\\x = \frac{6}{2} \± \frac{\sqrt{192}}{2}\\x = 3 \± \frac{8\sqrt{3}}{2}\\x = 3 \± 4\sqrt{3}$

$x = 3 + 4\sqrt{3} = 9.928(4s.f.)$

$x = 3 - 4\sqrt{3} = -3.928(4s.f.)$ (Length can't be negative)

∴ $x = 3 + 4\sqrt{3}$

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Step by step directions Square root for 480

m_a_m_a [10]

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 Solution:
32 = 9 and 42 = 16, so lies between 3 and 4. 2. Divide 10 by 3. 10/3 = 3.33 (you can round off your answer) 3. Average 3.33 and 3. (3.33 + 3)/2 = 3.1667 Repeat step 2: 10/3.1667 = 3.1579Repeat step 3: Average 3.1579 and 3.1667. (3.1579 + 3.1667)/2 = 3.1623 Try the answer --> Is 3.1623 squared equal to 10? 3.1623 x 3.1623 = 10.0001 If this is accurate enough for you, you can stop! Otherwise, you can repeat steps 2 and 3. Note: There are a number of ways to calculate square roots without a calculator. This is only one of them. 
 
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 Solution:
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