Question

resolver por la formula la siguientes ecuasion

Answer 1

RESOLUCIÓN :

$2x^2-7x+3=0$

$ax^2+bx+c=0$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{Para\:}\quad a=2,\:b=-7,\:c=3:\quad x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\cdot \:2\cdot \:3}}{2\cdot \:2}$

$x_{1} =\frac{-\left(-7\right)+\sqrt{\left(-7\right)^2-4\cdot \:2\cdot \:3}}{2\cdot \:2}$

$x_{1} =\frac{7+\sqrt{25}}{4}$

$\boxed{ x_{1}=3 }}$

$x_{2} =\frac{-\left(-7\right)-\sqrt{\left(-7\right)^2-4\cdot \:2\cdot \:3}}{2\cdot \:2}$

$x_{2} =\frac{7-\sqrt{25}}{4}$

$\boxed{ x_{2}=\frac{1}{2} }}$