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2x² -7x+3=0

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2x² -7x+3=0

Posted by Dhruv Saini 1 year, 11 months ago

MP Board > Class 10 > Mathematics

2 answers

Preeti Dabral 1 year, 11 months ago

2x² - 7x + 3 = 0
Comparing quadratic equation 2x² - 7x + 3 = 0 with general form ax² + bx + c = 0, we get a = 2, b = -7 and c = 3
Putting these values in quadratic formula {tex}x = \frac { - b \pm \sqrt { b ^ { 2 } - 4 a } } { 2 a }{/tex}
{tex}x = \frac { 7 \pm \sqrt { ( - 7 ) ^ { 2 } - 4 ( 2 ) ( 3 ) } } { 2 \times 2 } \Rightarrow x = \frac { 7 \pm \sqrt { 9 - 24 } } { 4 }{/tex}
{tex}\Rightarrow x = \frac { 7 \pm 5 } { 4 }{/tex}
_{{tex}\Rightarrow x = \frac { 7 + 5 } { 4 } , \frac { 7 - 5 } { 4 }{/tex}}
{tex}\Rightarrow{/tex} x =3, ½

0Thank You

Saumyaa Soni 1 year, 6 months ago

2x^2-7x+3=0 2x^2-6x-1x+3=0 2x(x-3)-1(x-3)=0 (2x-1)(x-3)=0 x=3,1/2

0Thank You

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