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solve 2x^2 + 7x + 3=0 solve using the quadratic formula
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simple:
resolvent formula
x=-0.5 x=-3
understand?
know resolvent form?
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i just attached the answer. :-)
Using the quadratic formula, \[x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\] \[x=\frac{-7 \pm \sqrt{7^2-4(2)(3)}}{2(2)}\] \[x=\frac{-7 \pm \sqrt{25}}{4}=\frac{-7 \pm 5}{4}=-\frac{1}{2}, -3\]
You can also factor this using the grouping method: 2x^2+7x+3=0 2x^2+6x+x+3=0 2x(x+3)+(x+3)=0 (x+3)(2x+1)=0 x=-3, -1/2
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