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Akhileshwar Nani has Published 204 Articles
Akhileshwar Nani
129 Views
Given:The given equation is $\frac{2}{3}(x-5)-\frac{1}{4}(x-2)=\frac{9}{2}$.To do:We have to solve the given equation and verify the solution.Solution:To verify the solution we have to find the value of the variable and substitute it in the equation. Find the value of LHS and the value of RHS and check whether both are equal.The given ... Read More
Akhileshwar Nani
165 Views
Given:The given equations are:(i) $\frac{(2x-1)}{3}-\frac{(6x-2)}{5}=\frac{1}{3}$(ii) $13(y-4)-3(y-9)-5(y+4)=0$To do:We have to solve the given equations and verify the solutions.Solution:To verify the solutions we have to find the values of the variables and substitute them in the equation. Find the value of LHS and the value of RHS and check whether both are ... Read More
Akhileshwar Nani
83 Views
Given:The given equations are:(i) $\frac{x}{2}-\frac{4}{5}+\frac{x}{5}+\frac{3x}{10}=\frac{1}{5}$(ii) $\frac{7}{x}+35=\frac{1}{10}$To do:We have to solve the given equations and verify the solutions.Solution:To verify the solutions we have to find the values of the variables and substitute them in the equation. Find the value of LHS and the value of RHS and check whether both are ... Read More
Akhileshwar Nani
89 Views
Given:The given equations are:(i) $\frac{2x}{3}-\frac{3x}{8}=\frac{7}{12}$(ii) $(x+2)(x+3)+(x-3)(x-2)-2x(x+1)=0$To do:We have to solve the given equations and verify the solutions.Solution:To verify the solutions we have to find the values of the variables and substitute them in the equation. Find the value of LHS and the value of RHS and check whether both are ... Read More
Akhileshwar Nani
64 Views
Given:The given equations are:(i) $\frac{x}{2}+\frac{x}{3}+\frac{x}{4}=13$(ii) $\frac{x}{2}+\frac{x}{8}=\frac{1}{8}$To do:We have to solve the given equations and verify the solutions.Solution:To verify the solutions we have to find the values of the variables and substitute them in the equation. Find the value of LHS and the value of RHS and check whether both are ... Read More
Akhileshwar Nani
115 Views
Given:The given equations are:(i) $9\frac{1}{4}=y-1\frac{1}{3}$(ii) $\frac{5x}{3}+\frac{2}{5}=1$To do:We have to solve the given equations and verify the solutions.Solution:To verify the solutions we have to find the values of the variables and substitute them in the equation. Find the value of LHS and the value of RHS and check whether both are ... Read More
Akhileshwar Nani
46 Views
Given:The given expressions are:(i) $acx^2+(bc+ad)x+bd$ by $ax+b$(ii) $(a^2+2ab+b^2)-(a^2+2ac+c^2)$ by $2a+b+c$To do:We have to divide the given expressions.Solution:We have to divide the given polynomials by simplifying them using algebraic formulas.Polynomials: Polynomials are expressions in which each term is a constant multiplied by a variable raised to a whole number power.Therefore, (i) The given ... Read More
Akhileshwar Nani
77 Views
Given:The given expressions are:(i) $ax^2-ay^2$ by $ax+ay$(ii) $x^4-y^4$ by $x^2-y^2$To do:We have to divide the given expressions.Solution:We have to divide the given polynomials by simplifying them using algebraic formulas.Polynomials: Polynomials are expressions in which each term is a constant multiplied by a variable raised to a whole number power.Therefore, (i) The given ... Read More
Akhileshwar Nani
168 Views
Given:The given expressions are:(i) $5x^3-15x^2+25x$ by $5x$(ii) $4z^3+6z^2-z$ by $\frac{-1}{2}z$(iii) $9x^2y-6xy+12xy^2$ by $\frac{-3}{2}xy$To do:We have to divide the given expressions.Solution:We have to divide the given polynomials by monomials using the formula $x^a \div x^b=a^{a-b}$Polynomials: Polynomials are expressions in which each term is a constant multiplied by a variable raised to a ... Read More
Akhileshwar Nani
49 Views
Given:The given expressions are:(i) $-x^6+2x^4+4x^3+2x^2$ by $\sqrt2x^2$(ii) $-4a^3+4a^2+a$ by $2a$(iii) $\sqrt3a^4+2\sqrt3a^3+3a^2-6a$ by $3a$To do:We have to divide the given expressions.Solution:We have to divide the given polynomials by monomials using the formula $x^a \div x^b=a^{a-b}$Polynomials: Polynomials are expressions in which each term is a constant multiplied by a variable raised to a ... Read More