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Popular >

7x^2-x+6>= 0

Solution

7 x^{2} - x + 6 \geq 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

7 x^{2} - x + 6 \geq 0

Complete the square

7 x^{2} - x + 6 : 7 (x - \frac{1}{14})^{2} + \frac{167}{28}

7 (x - \frac{1}{14})^{2} + \frac{167}{28} \geq 0

Move

\frac{167}{28}

to the right side

7 (x - \frac{1}{14})^{2} \geq - \frac{167}{28}

Divide both sides by

7

(x - \frac{1}{14})^{2} \geq - \frac{167}{196}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

simplify 2/4*2/4 simplify

\frac{2}{4} \cdot \frac{2}{4}

simplify-1/4-(-7/6)simplify

- \frac{1}{4} - (- \frac{7}{6})

((2x+1)/(x-5))^2>0

(\frac{2 x + 1}{x - 5})^{2} > 0

8 (x - 2) = 96

∣ 2 - x ∣ - 4 \geq - 3

Frequently Asked Questions (FAQ)

What is 7x^2-x+6>= 0 ?
The solution to 7x^2-x+6>= 0 is True for all x