itsandypandy
Answered

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Solve this for Brainliest!

See the attachment [Level - GCSE]

Solve This For BrainliestSee The Attachment Level GCSE class=

Sagot :

gvimalaratnam21

Answer:

[tex]x = 3 + 4\sqrt{3}[/tex]

Step-by-step explanation:

OPQ is a right angle triangle.

Using Pythagoras

[tex]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[/tex]

Using quadratic formula

[tex]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}[/tex]

[tex]x = 3 + 4\sqrt{3} = 9.928(4s.f.)[/tex]

             OR

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

∴ [tex]x = 3 + 4\sqrt{3}[/tex]

vgowthaman24

Answer:

[tex]x=3+4\sqrt{3}[/tex]

Step-by-step explanation:

I agree with the another person's steps.

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