<prompt> Mehato ea ho rarolla quadratic equation ke efe?nan  <response>: Instruction in English: What are the steps for solving a quadratic equation? . Response in English: There are several methods you can use to solve a quadratic equation. Here are four common methods: factoring, using the quadratic formula, completing the square, and graphing.1. Solving by factoring:One of the simplest ways to solve a quadratic equation is by factoring. Here are the steps to solve by factoring:a. Rearrange the equation in the standard form: ax2 bx c 0, where a, b, and c are constants.b. Factorize the quadratic equation into two binomials.c. Set each bracketed expression to zero and solve for x.2. Using the quadratic formula:Another way to solve a quadratic equation is by using the quadratic formula: x -b - sqrtb2-4ac 2aa. Write down the coefficients of the quadratic equation, where a is the coefficient of the x2 term, b is the coefficient of the x term, and c is the constant.b. Substitute the values of a, b, and c into the quadratic formula.c. Simplify the expression under the square root sign and calculate the two possible values of x.3. Completing the square:Completing the square is another method to solve a quadratic equation. Here are the steps to solve by completing the square:a. Rearrange the equation into the form ax2 bx c, where a, b, and c are constants.b. Divide both sides of the equation by a to get x2 bax -ca.c. Add the square of half of the ba term to both sides of the equation: x2 bax b2a2 b2a2 - ca.d. Factor the left side into a perfect square trinomial: x b2a2 b2a2 - ca.e. Take the square root of both sides.f. Solve for x.4. Graphing:A quadratic equation can also be solved by graphing. Here are the steps to solve by graphing:a. Rearrange the equation in the standard form: y ax2 bx c, where a, b, and c are constants.b. Graph the quadratic equation.c. Find the x-intercepts of the graph. The x-intercepts are the points . Response in Sesotho: Ho na le mekhoa e maloa eo u ka e sebelisang ho rarolla quadratic equation. Mekhoa e mene e tloaelehileng ke ena: factoring, sebelisa foromo ea quadratic, completing square, le graphing. 1. Tharollo ka ho fatafata: E ngoe ea litsela tse bonolo tsa ho rarolla quadratic equation ke ka factoring. Mehato ea ho rarolla ka factoring ke ena: a. Hlophisa equation ka mokhoa o tloaelehileng: ax2 bx c 0, moo a, b, le c e leng li-constants. b. Fetola equation ea quadratic ho li-binomial tse peli. c. Beha polelo e ngoe le e ngoe ea bracket ho zero me u rarolle bakeng sa x. 2. Ho sebelisa foromo ea quadratic: Tsela e ngoe ea ho rarolla quadratic equation ke ka ho sebelisa foromo ea quadratic: x -b - sqrtb2-4ac 2a a. Ngola li-coefficients tsa quadratic equation, moo a e leng coefficient ea x2 term, b ke coefficient ea x term, me c e le kamehla. b. Fetola boleng ba a, b, le c ho foromo ea quadratic. c. Nolofatsa polelo tlasa letšoao la motso oa lisekoere me u bale litekanyetso tse peli tse ka khonehang tsa x. 3. Ho tlatsa sekwere: Ho tlatsa sekwere ke mokhoa o mong oa ho rarolla quadratic equation. Mehato ea ho rarolla ka ho tlatsa sekwere: a. Hlophisa equation ka sebopeho sa ax2 bx -c, moo a, b, le c e leng lintho tse sa fetoheng. b. Arola mahlakore ka bobeli a equation ka a ho fumana x2 bax -cac Eketsa sekwere sa halofo ea lentsoe la ba mahlakoreng ka bobeli a equation: x2 ba x b2a2 b2a2 - cad Ntlha e lehlakoreng le letshehadi ho ba sekwere trinomial e phethahetseng: x b2a2 b2a2 - cae Nka motso wa mahlakore ka bobedi. f. Rarolla bakeng sa x. 4. Graphing: A quadratic equation e ka boela ea rarolloa ka graphing. Mehato ea ho rarolla ka graphing ke ena: a. Hlophisa equation ka mokhoa o tloaelehileng: y ax2 bx c, moo a, b, le c e leng li-constants. b. Kerafo ea quadratic equation. c. Fumana x-intercepts ea kerafo. X-intercepts ke lintlha 