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Popular >

5x^2-8x+19>0

Solution

5 x^{2} - 8 x + 19 > 0

Solution

True for all x

+1

Solution steps

5 x^{2} - 8 x + 19 > 0

Complete the square

5 x^{2} - 8 x + 19 : 5 (x - \frac{4}{5})^{2} + \frac{79}{5}

5 (x - \frac{4}{5})^{2} + \frac{79}{5} > 0

Move

\frac{79}{5}

to the right side

5 (x - \frac{4}{5})^{2} > - \frac{79}{5}

Divide both sides by

5

(x - \frac{4}{5})^{2} > - \frac{79}{25}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

3 ∣ 5 x ∣ + 4 = 16

simplify (x^{2/3})^{5/2}simplify

(x^{\frac{2}{3}})^{\frac{5}{2}}

factor-3x(2-x+4x)factor

- 3 x (2 - x + 4 x)

simplify (x^{-1})/(x^{-2)+y^{-3}}simplify

\frac{x ^{- 1}}{x ^{- 2} + y ^{- 3}}

simplify 3^{-7}*3^9 simplify

3^{- 7} \cdot 3^{9}

Frequently Asked Questions (FAQ)

What is 5x^2-8x+19>0 ?
The solution to 5x^2-8x+19>0 is True for all x