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Solve the inequality $19x^2-140x+241>0$

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Solution

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Final answer to the problem

$x>\frac{\sqrt{321}+70}{19}$
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Step-by-step Solution

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Learn how to solve completing the square problems step by step online. Solve the inequality 19x^2-140x+241>0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (19) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{140}{19}x+\frac{4900}{361}. Multiply the fraction and term in - \frac{70}{19}.

Final answer to the problem

$x>\frac{\sqrt{321}+70}{19}$

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Plotting: $x>\frac{\sqrt{321}+70}{19}$

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◻2
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◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Completing the Square

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ax^2+bx+c to the form a(x+h)^2+k.

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