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Popular >

3x^2-5x-1>(x-3)(x+3)

Solution

3 x^{2} - 5 x - 1 > (x - 3) (x + 3)

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

3 x^{2} - 5 x - 1 > (x - 3) (x + 3)

Rewrite in standard form

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

Complete the square

2 x^{2} - 5 x + 8 : 2 (x - \frac{5}{4})^{2} + \frac{39}{8}

2 (x - \frac{5}{4})^{2} + \frac{39}{8} > 0

Move

\frac{39}{8}

to the right side

2 (x - \frac{5}{4})^{2} > - \frac{39}{8}

Divide both sides by

2

(x - \frac{5}{4})^{2} > - \frac{39}{16}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

simplify 3/5*25 simplify

\frac{3}{5} \cdot 25

\frac{x - 6}{4} > 2

2 x + 2 = 3 x - 1

factor 125z^3-64 factor

125 z^{3} - 64

simplify log_{4}(1/9)simplify

lo g_{4} (\frac{1}{9})

Frequently Asked Questions (FAQ)

What is 3x^2-5x-1>(x-3)(x+3) ?
The solution to 3x^2-5x-1>(x-3)(x+3) is True for all x