Math Problem Solver

1. Find value

\math-container{[\frac{5|12}-\frac{7|9}]\power{-1 }×3\frac{2|9}

}

2. Find value

\math-container{\frac{[9-\frac{43|8}][4\frac{5|12}-4÷2\frac{2|3}+[0.3+0.5÷4]×\frac{4|7}]|\frac{1|25}+0.25÷13\frac{1|3}

}}

3. Solve the equation

\math-container{\frac{x+18|4}+\frac{3x-12|4}=16

}

4. Solve the equation

\math-container{\frac{2x|x-3}+3=\frac{6|x-3}

Given that (x≠3)

}

5. Find the value of \math-container{f{\frac{1|4}},}if \math-container{f{x}=1-\frac{4|x}}.

6.If x=\math-container{\frac{1|4-x}}, find the value of \math-container{\frac{x+1|x}}.

7. Find the value of

\math-container{\rightarrow{} cos2𝛼×tan4𝛼, if sin𝛼+cos𝛼=\frac{\sqrt{2}|2}}

8. Find the value of

\math-container{\rightarrow{} cos(𝛼+𝛽)-cos(𝛼+𝛽),

if sin\power{4}𝛼+4cos\power{4}𝛽+2=4\sqrt{2 }sin 𝛼 cos 𝛽;

𝛼,𝛽∈[0,𝜋].

}

9. Find the x-intercept of

→ \math-container{y=5x-2.}

10. Find the y-intercept of

→ y=3x+4.

11. Rewrite the given expression as the power of x. Give the power(exponent) as the answer.

→\math-container{x▪\sqrt{x\power{7}|10}}

→ For e.g : \math-container{x▪\sqrt{x}=x\power{\frac{3|2}}=1.5, then the answer is 1.5.}

12. Find the smallest positive root of the equation

→ \math-container{sin3x=-1}.

*Answer should be given in deegrees.

13. Find the minimum of \math-container{\frac{sin x|cos y}+\frac{cos x|sin y}+\frac{sin y|cos x}+\frac{cos y|sin x}}.

14. Solve the equation

→ \math-container{2\power{4x-9}={\frac{1|8}}\power{x-4}}

15. Solve the equation

→ \math-container{{x\power{2}-4x+9}\power{2}-8{x\power{2}-4x+9}+15=0}

16. Solve the equation

→ \math-container{8▪0.25\power{2x-3}=2\power{x-3}}

17. Solve the equation

→ \math-container{\frac{x|3}+1=\frac{7|15}}

18. Solve the equation

→ \math-container{2{5x-3}-3{2x-1}=9}

19. Calculate

→ 2 lg 5 + 0,6 lg 16

20. Find x if

→ \math-container{\log{}\overunderset{||5}(x-7)=1}