Question 674269
f(x) = {{{2x^2 + 10x - 3}}}
{{{2x^2 + 10x - 3 = 0}}}
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Divide the entire equation by 2
{{{x^2 + (10/2)x - 3/2 = 0}}}
{{{x^2 + 5x - 3/2 = 0}}}
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{{{x^2 + 5x + 6.25 = 3/2 + 6.25}}}
(x+2.5)(x+2.5) = 7.75
{{{(x+2.5)^2 = 7.75}}}
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{{{sqrt(x+2.5)^2}}} = +/- {{{sqrt(7.75)}}}
x+2.5 = +/- {{{sqrt(7.75)}}}
x = -2.5 +/- {{{sqrt(7.75)}}}
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x = -2.5 + {{{sqrt(7.75)}}}
x = -2.5 + 2.78
{{{highlight_green(x = .28)}}}
x = -2.5 - {{{sqrt(7.75)}}}
x = -2.5 - 2.78
{{{highlight_green(x = -5.25)}}}
...
{{{graph(300,200,-10,10,-10,10,2x^2+10x-3)}}}
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