Mpamaha fifandanjana
Mamaha ny resaka an-dalana, quadrique ary ny rafitra ny fifandanjana dingana-by- dingana, maimaim-poana amin'ny aterineto.
Manova ny valin'ny fanoratanao.
Momba ity kapila ity
An equation solver finds the values that satisfy an equation. This tool solves linear equations, quadratic equations (via the quadratic formula, including complex roots) and systems of two linear equations. Choose the type, enter the coefficients, and get the solution with the key working shown.
For a linear equation ax + b = 0 it simply rearranges to x = -b/a. For a quadratic ax² + bx + c = 0 it applies the quadratic formula, first computing the discriminant b² − 4ac: a positive discriminant gives two real roots, zero gives one repeated root, and a negative discriminant gives a pair of complex-conjugate roots which it reports rather than declaring "no solution". For a 2×2 system it solves the two lines simultaneously to find the single point where they cross.
For a worked example, solving x² − 5x + 6 = 0 gives a discriminant of 25 − 24 = 1, so the roots are x = (5 ± 1)/2, that is x = 3 and x = 2. By contrast x² + 1 = 0 has discriminant -4 and returns the complex roots x = i and x = -i. Students use it to check algebra homework, find where a parabola crosses the x-axis, or solve the pair of equations behind a word problem.
Fanontaniana matetika
Inona no karazana fifandanjana azony vahana?
Linear equations (ax + b = 0), quadratics (ax² + bx + c = 0, including complex roots), and 2×2 systems of linear equations.
Mampiseho fototra sarotra ve izy?
Raha misy ny fitambarana roa izay manana ny toetra mitovy, dia ny fitambarana roa izay tsy manana ny toetra mitovy dia atao hoe fitambarana roa mitovy.
Ahoana no hamahana ny quadratic toy ny x² − 5x + 6 = 0?
Misafidiana ny karazana quadratic ary ampidiro a = 1, b = -5, c = 6. Mampiasà ny lasitra quadratic ny mpamolavola ary mamerina x = 2 sy x = 3, ireo sanda roa izay mahatonga ny filazan'ny teny ho aotra.
Inona no mampiavaka azy ary nahoana no zava-dehibe izany?
Ny famaritana ny famaritana dia ny b² − 4ac. Raha miabo izy dia misy faka roa marina, raha aotra dia misy faka iray miverina, ary raha ratsy dia misy faka roa mitambatra sarotra. Ny mpamolavola dia mampiasa izany mba hamantarana ny tranga mety.
Ahoana no ahafahako mamaha rafitra misy fifandanjana roa?
Misafidiana ny karazana rafitra 2×2 ary ampidiro ny isa azo avy amin'ny fifandanjana roa. Mitady ny teboka tokana (x, y) izay mihaonan'ny tsipika roa ny mpamolavola, na milaza aminao rehefa mifanandrify izy ireo ary tsy mifampitohy mihitsy.
Ahoana no mahasamihafa azy amin'ny milina fanisana sary?
Manome ny sanda marina amin'ny alalan'ny algebra ny mpamolavola ny fifandanjana. Ny milina fanisana ny sary kosa dia manoritsoritra ny kofehy mba ho hitan'ny mpampiasa ny fotony amin'ny alalan'ny fihodinana amin'ny axe x na ny fihodinana amin'ny sary roa.
Ny voka-pikarohana dia natao ho an'ny torohevitra ankapobeny ihany, tsy torohevitra ara-bola, ara-pitsaboana na ara-bola.