Kipingamizi cha Kusawazisha Maji
Utaondoa tatizo hilo kwa kutumia njia ya mkato na mifumo ya milingano hatua kwa hatua, bila kutumia Intaneti.
Matokeo yanakuwa bora zaidi unapochapa.
Kuhusu kifaa hiki cha kupigia hesabu
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.
Maswali yaliyoulizwa mara nyingi
Inaweza kutatua aina gani za milingano?
Njia za kulinganisha (ax + b = 0), quadratics (ax2 + bx + c = 0, kutia ndani mizizi tata), na mifumo 2372 ya milingano ya mistari.
Je, inaonyesha mizizi iliyo tata?
Ndiyo, wakati mtaalamu wa hesabu anapotoa maoni yasiyofaa, mtatuaji aripoti kwamba mizizi miwili tata inavunjika badala ya kusema hakuna suluhisho.
How do I solve a quadratic like x² − 5x + 6 = 0?
Chagua aina ya quadratic na kuingia = 1, b = -5, k = 6. Mtatua hutumia neno quadratic quadratic quose = 2 na x = 3, thamani mbili zinazofanyiza neno sufuri.
Mtabiri ni nini na kwa nini ni muhimu?
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.
Ninatatuaje mfumo wa njia mbili za kufanya mambo?
Select the 2×2 system type and enter the coefficients of both equations. The solver finds the single (x, y) point where the two lines meet, or tells you when they are parallel and never cross.
Jambo hilo linatofautianaje na hesabu inayohesabu?
Mtatuaji wa hesabu hiyo hurudia kanuni hususa za utatuzi kwa kutumia hesabu. Badala yake, pima mpindo ili uweze kuona mizizi ikiwa imevuka x-axis au makutano ya marki mbili.
Matokeo ni makadirio ya mwongozo wa ujumla, si wa kifedha, wa kitiba au wa kodi tu.