√3x = x+20
find the value of x.
Answers
Answered by
1
Answer:
squaring on both sides
3x^2=x^2+40x+400
2x^2-40x-400
➗ by 2
x^2-20x-200
continue the step,
you will get the answer
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Answered by
1
Answer:
= 10 +- 10 UNDER ROOT 3
Step-by-step explanation:
x under root 3 = x + 20
Squaring Both Sides
3x^2 = (x + 20 )^2
3x^2 = x^2 + 400 + 40x
2x^2 - 40x - 400 =0
x^2 - 20x - 200 = 0
using quadratic formula
D = B^2 - 4AC
= (-20)^2- 4(1)(-200) = 400 + 800 = 1200
X = - B +- UNDER ROOT D/ 2A
AND PUTTING VALUES WE WILL GET X
= 20 +- UNDER ROOT 120 /2 = 10 +- 10 UNDER ROOT 3
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