Equation of line in Straight lines

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The equations of lines whose intercepts are the roots of the equation $x^{2} - 3 x + 2 = 0$ are

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Solution

The roots of the equation $x^{2} - 3 x + 2 = 0$ are 1,2
Equation of line whose intercepts on the axes are a,b is $\frac{x}{a} + \frac{y}{b} = 1$
Hence, the equation of the line having intercepts 1,2 is $\frac{x}{1} + \frac{y}{2} = 1$ and the equation of the line having intercepts 2,1 is $\frac{x}{2} + \frac{y}{1} = 1$
Rewrite the equation as $2 x + y - 2 = 0, x + 2 y - 2 = 0$

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Equation of line in Straight lines

Remember concepts with our Masterclasses.

The equations of lines whose intercepts are the roots of the equation x2−3x+2=0 are

The roots of the equation x2−3x+2=0 are 1,2Equation of line whose intercepts on the axes are a,b is xa+yb=1Hence, the equation of the line having intercepts 1,2 is x1+y2=1 and the equation of the line having intercepts 2,1 is x2+y1=1Rewrite the equation as 2x+y−2=0,x+2y−2=0

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The equations of lines whose intercepts are the roots of the equation $x^{2} - 3 x + 2 = 0$ are