Ku xallinta isku midka
Xalka line, quadratic iyo nidaamka isku midka ah tallaabo tallaabo, free online.
Natiijooyinka cusbooneysiinta sida aad ku qorto.
Ku saabsan Kalkaaliyahan
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.
Su'aalaha badanaa la isweydiiyo
Waa maxay noocyada iskutallaabta ay tahay in la xalliyo?
Isku-duwaha line (ax + b = 0), quadratics (ax² + bx + c = 0, oo ay ku jiraan rooti adag), iyo 2 × 2 nidaamka is-dhexgalka line.
Ma muujin kartaa roots adag?
Haa. Marka squared leeyahay discriminant xun, xalka warbixinno laba ka mid ah jirridda conjugate adag ka badan in ay sheegaan in ay jiraan wax xal ah.
Sidee baan u xalin karaa laba jibbaaran sida x² - 5x + 6 = 0?
Dooro nooca squared iyo geli a = 1, b = -5, c = 6. The xalka ku dhaqanka formula squared iyo ku soo laabtay x = 2 iyo x = 3, labada qiimaha ka dhigaya hadalka zero.
Waa maxay kala sooca iyo sababta ay muhiim u tahay?
The discriminant is b² − 4ac. If it is positive there are two real roots, if it is zero there is one repeated root, and if it is negative the roots are a complex conjugate pair. The solver uses it to decide which case applies.
Sideen u xalliyo nidaamka laba isku mid ah?
Dooro 2 × 2 noocyada nidaamka iyo geli coefficients labada iskutallaabta. The xalka ka heli kartaa mid ka mid ah (x, y) meesha labada liiska ku kulmaan, ama kuu sheegi marka ay isku xigta oo aan marnaba isku xiran.
Sidee ayaa tan ka duwan tahay ka graphing calculator?
The isku midka xallinta ku soo laabtay xalka dhabta ah qiimaha algebraically. The graphing calculator in kastoo ku soo bandhigay curves si aad u aragto rooti sida x-axis crossings ama isku xigta laba graphs.
Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.