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Popular >

4x^2-12x+10>0

Solution

4 x^{2} - 12 x + 10 > 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

4 x^{2} - 12 x + 10 > 0

Rewrite in standard form

2 x^{2} - 6 x + 5 > 0

Complete the square

2 x^{2} - 6 x + 5 : 2 (x - \frac{3}{2})^{2} + \frac{1}{2}

2 (x - \frac{3}{2})^{2} + \frac{1}{2} > 0

Move

\frac{1}{2}

to the right side

2 (x - \frac{3}{2})^{2} > - \frac{1}{2}

Divide both sides by

2

(x - \frac{3}{2})^{2} > - \frac{1}{4}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

simplify log_{2}(sqrt(8))simplify

lo g_{2} (8)

simplify 2/3+5/3 simplify

\frac{2}{3} + \frac{5}{3}

factor 5x^2+27x+10 factor

5 x^{2} + 27 x + 10

factor 3x^2+3x-10x-10 factor

3 x^{2} + 3 x - 10 x - 10

2 (a + 1) = 6

Frequently Asked Questions (FAQ)

What is 4x^2-12x+10>0 ?
The solution to 4x^2-12x+10>0 is True for all x