First Principles AI

school

11TH · MATH

Question 1

menu_bookSolution menu_bookTheory menu_book•(i)

\\dfrac{1}{3x}+\\dfrac{4x}{6}=1,\\; x\\ne 0

menu_book•(ii)

\\dfrac{x}{x+1}+\\dfrac{x+1}{x}=\\dfrac{5}{2},\\; x\\ne -1,0

menu_book•(iii)

\\dfrac{1}{x+1}+\\dfrac{2}{x+2}=\\dfrac{7}{x+5},\\; x\\ne -1,-2,-5

menu_book•(iv)

\\dfrac{a}{ax-1}+\\dfrac{b}{bx-1}=a+b,\\; x\\ne \\dfrac{1}{a},\\dfrac{1}{b}

menu_book•(v)

3x^2+15x-2\\sqrt{x^2+5x+1}=2

menu_book•(vi)

\\sqrt{2x+8}+\\sqrt{x+5}=7

menu_book•(vii)

\\sqrt{3x+4}=2+\\sqrt{2x-4}

menu_book•(viii)

\\sqrt{x+5}-\\sqrt{x-3}=2

school

11TH · MATH

Question 1

menu_bookSolution menu_bookTheory menu_book•(i)

\\dfrac{1}{3x}+\\dfrac{4x}{6}=1,\\; x\\ne 0

menu_book•(ii)

\\dfrac{x}{x+1}+\\dfrac{x+1}{x}=\\dfrac{5}{2},\\; x\\ne -1,0

menu_book•(iii)

\\dfrac{1}{x+1}+\\dfrac{2}{x+2}=\\dfrac{7}{x+5},\\; x\\ne -1,-2,-5

menu_book•(iv)

\\dfrac{a}{ax-1}+\\dfrac{b}{bx-1}=a+b,\\; x\\ne \\dfrac{1}{a},\\dfrac{1}{b}

menu_book•(v)

3x^2+15x-2\\sqrt{x^2+5x+1}=2

menu_book•(vi)

\\sqrt{2x+8}+\\sqrt{x+5}=7

menu_book•(vii)

\\sqrt{3x+4}=2+\\sqrt{2x-4}

menu_book•(viii)

\\sqrt{x+5}-\\sqrt{x-3}=2

Accedmychevron_right11thchevron_rightmathchevron_rightTheory Of Quadratic Functionschevron_rightExercise 3.2

(i)

\boxed{x=\frac{1}{2},\; x=1}

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