\(10x^2-x-3=0\) āĻĻā§āĻŦāĻŋāĻāĻžāϤ āϏāĻŽā§āĻāϰāύā§āϰ āĻŦāĻžāϏā§āϤāĻŦ āĻŦā§āĻ āĻĨāĻžāĻāϞ⧠āĻļā§āϰā§āϧāϰ āĻāĻāĻžāϰā§āϝā§āϰ āϏā§āϤā§āϰā§āϰ āϏāĻžāĻšāĻžāϝā§āϝ⧠āύāĻŋāϰā§āĻŖā§ āĻāϰāĻŋ āĨ¤
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\(10x^2-x-3=0\) āϏāĻŽā§āĻāϰāύāĻāĻŋāĻā§ \(ax^2+bx
+c=0\) āϏāĻŽā§āĻāϰāĻŖā§āϰ āϏāĻžāĻĨā§ āϤā§āϞāύāĻž āĻāϰ⧠āĻĒāĻžāĻ,
\( a=10,b=-1\) āĻāĻŦāĻ \(c=-3\)
\(â´b^2-4ac=(-1)^2-4Ã10Ã-3=1+120=121>0\)
\(â´ 10x^2-x-3=0\) āϏāĻŽā§āĻāϰāύāĻāĻŋāϰ
āĻŦāĻžāϏā§āϤāĻŦ āĻŦā§āĻ āĻāĻā§ āĨ¤
āĻļā§āϰā§āϧāϰ āĻāĻāĻžāϰā§āϝā§āϰ āϏā§āϤā§āϰ āĻĨā§āĻā§ āĻĒāĻžāĻ
\( x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a} = \cfrac{1\pm \sqrt{121}}{2Ã10}\)
\(=\cfrac{1Âą11}{20}\)
â´āĻšā§ \(x=\cfrac{1+11}{20} =\cfrac{12}{20} =\cfrac{3}{5}\)
āĻ
āĻĨāĻŦāĻž,\(x= \cfrac{1-11}{20}=\cfrac{-10}{20}=-\cfrac{1}{2}\)
\(â´ 10x^2-x-3=0\) āϏāĻŽā§āĻāϰāĻŖā§āϰ
āĻŦā§āĻāĻĻā§āĻŦā§ \(\cfrac{3}{5}\) āĻāĻŦāĻ \(-\cfrac{1}{2}\)
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