Solvi għal v (complex solution)
v=\frac{\sqrt{2x+3}-\sqrt{x}}{\left(x+1\right)\left(x+3\right)}
x\neq -3\text{ and }x\neq -1
Solvi għal v
v=\frac{\sqrt{2x+3}-\sqrt{x}}{\left(x+1\right)\left(x+3\right)}
x\geq 0
Graff
Sehem
Ikkupjat fuq il-klibbord
\sqrt{2x+3}-\sqrt{x}=\left(x+1\right)\left(x+3\right)v
Immultiplika ż-żewġ naħat tal-ekwazzjoni b'\left(x+1\right)\left(x+3\right).
\sqrt{2x+3}-\sqrt{x}=\left(x^{2}+4x+3\right)v
Uża l-propjetà distributtiva biex timmultiplika x+1 b'x+3 u kkombina termini simili.
\sqrt{2x+3}-\sqrt{x}=x^{2}v+4xv+3v
Uża l-propjetà distributtiva biex timmultiplika x^{2}+4x+3 b'v.
x^{2}v+4xv+3v=\sqrt{2x+3}-\sqrt{x}
Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.
\left(x^{2}+4x+3\right)v=\sqrt{2x+3}-\sqrt{x}
Ikkombina t-termini kollha li fihom v.
\frac{\left(x^{2}+4x+3\right)v}{x^{2}+4x+3}=\frac{\sqrt{2x+3}-\sqrt{x}}{x^{2}+4x+3}
Iddividi ż-żewġ naħat b'x^{2}+4x+3.
v=\frac{\sqrt{2x+3}-\sqrt{x}}{x^{2}+4x+3}
Meta tiddividi b'x^{2}+4x+3 titneħħa l-multiplikazzjoni b'x^{2}+4x+3.
v=\frac{\sqrt{2x+3}-\sqrt{x}}{\left(x+1\right)\left(x+3\right)}
Iddividi \sqrt{2x+3}-\sqrt{x} b'x^{2}+4x+3.
\sqrt{2x+3}-\sqrt{x}=\left(x+1\right)\left(x+3\right)v
Immultiplika ż-żewġ naħat tal-ekwazzjoni b'\left(x+1\right)\left(x+3\right).
\sqrt{2x+3}-\sqrt{x}=\left(x^{2}+4x+3\right)v
Uża l-propjetà distributtiva biex timmultiplika x+1 b'x+3 u kkombina termini simili.
\sqrt{2x+3}-\sqrt{x}=x^{2}v+4xv+3v
Uża l-propjetà distributtiva biex timmultiplika x^{2}+4x+3 b'v.
x^{2}v+4xv+3v=\sqrt{2x+3}-\sqrt{x}
Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.
\left(x^{2}+4x+3\right)v=\sqrt{2x+3}-\sqrt{x}
Ikkombina t-termini kollha li fihom v.
\frac{\left(x^{2}+4x+3\right)v}{x^{2}+4x+3}=\frac{\sqrt{2x+3}-\sqrt{x}}{x^{2}+4x+3}
Iddividi ż-żewġ naħat b'x^{2}+4x+3.
v=\frac{\sqrt{2x+3}-\sqrt{x}}{x^{2}+4x+3}
Meta tiddividi b'x^{2}+4x+3 titneħħa l-multiplikazzjoni b'x^{2}+4x+3.
v=\frac{\sqrt{2x+3}-\sqrt{x}}{\left(x+1\right)\left(x+3\right)}
Iddividi \sqrt{2x+3}-\sqrt{x} b'x^{2}+4x+3.
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