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Popular >

2x^2-3x+5>0

Solution

2 x^{2} - 3 x + 5 > 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

2 x^{2} - 3 x + 5 > 0

Complete the square

2 x^{2} - 3 x + 5 : 2 (x - \frac{3}{4})^{2} + \frac{31}{8}

2 (x - \frac{3}{4})^{2} + \frac{31}{8} > 0

Move

\frac{31}{8}

to the right side

2 (x - \frac{3}{4})^{2} > - \frac{31}{8}

Divide both sides by

2

(x - \frac{3}{4})^{2} > - \frac{31}{16}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

x + 40 = 3 x

simplify (15i+26i^2)+(3i+2i^2)simplify

(15 i + 26 i^{2}) + (3 i + 2 i^{2})

factor 35x^7y^5m-7x^5m^2y^2+14y^7x^4m^2 factor

35 x^{7} y^{5} m - 7 x^{5} m^{2} y^{2} + 14 y^{7} x^{4} m^{2}

2 = 3 x + 10 x^{2}

factor 64x^3-125c^3 factor

64 x^{3} - 125 c^{3}

Frequently Asked Questions (FAQ)

What is 2x^2-3x+5>0 ?
The solution to 2x^2-3x+5>0 is True for all x