Issolvi a+bsqrt{2}=3(1-sqrt{2})+4sqrt{2}

$$a + b \sqrt { 2 } = 3 ( 1 - \sqrt { 2 } ) + 4 \sqrt { 2 }$$

Solvi għal b

$$b=-\frac{\sqrt{2}\left(a-\sqrt{2}-3\right)}{2}$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 3 b'1-\sqrt{2}.

$$a+b\sqrt{2}=3-3\sqrt{2}+4\sqrt{2}$$

Ikkombina -3\sqrt{2} u 4\sqrt{2} biex tikseb \sqrt{2}.

$$a+b\sqrt{2}=3+\sqrt{2}$$

Naqqas a miż-żewġ naħat.

$$b\sqrt{2}=3+\sqrt{2}-a$$

L-ekwazzjoni hija f'forma standard.

$$\sqrt{2}b=-a+\sqrt{2}+3$$

Iddividi ż-żewġ naħat b'\sqrt{2}.

$$\frac{\sqrt{2}b}{\sqrt{2}}=\frac{-a+\sqrt{2}+3}{\sqrt{2}}$$

Meta tiddividi b'\sqrt{2} titneħħa l-multiplikazzjoni b'\sqrt{2}.

$$b=\frac{-a+\sqrt{2}+3}{\sqrt{2}}$$

Iddividi 3+\sqrt{2}-a b'\sqrt{2}.

$$b=\frac{\sqrt{2}\left(-a+\sqrt{2}+3\right)}{2}$$

Solvi għal a

$$a=-\sqrt{2}\left(b-1\right)+3$$