Question 48938
2x^2+7x-2=0
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} [The quadratic formula]
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Values:
a=2
b=7
c=-2
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{{{x = (-7 +- sqrt( 7^2-4*2*(-2) ))/(2*2) }}} [Plug-in the values]
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{{{x = (-7 +- sqrt( 49-(-16) ))/(4) }}} [Simplify]

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{{{x = (-7 +- sqrt( (65) ))/(4) }}}

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Two answers:
{{{x = (-7 + ( 8.0623 ))/(4) }}}
x = 0.2656
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or
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{{{x = (-7 - ( 8.0623 ))/(4) }}}
x=-3.766

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Check each value of x by plugging (x=0.2656) or (x=-3.766) back into the original equation.