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Popular >

5^2-8x+19>= 0

Solution

5^{2} - 8 x + 19 \geq 0

Solution

x \leq \frac{11}{2}

+2

Interval Notation

(- \infty, \frac{11}{2}]

Decimal Notation

x \leq 5.5

Solution steps

5^{2} - 8 x + 19 \geq 0

5^{2} = 25

25 - 8 x + 19 \geq 0

Group like terms

- 8 x + 25 + 19 \geq 0

Add the numbers:

25 + 19 = 44

- 8 x + 44 \geq 0

Move

44

to the right side

- 8 x \geq - 44

Multiply both sides by

- 1

8 x \leq 44

Divide both sides by

8

x \leq \frac{11}{2}

Popular Examples

simplify 1/2*(2pi)/3 simplify

\frac{1}{2} \cdot \frac{2 π}{3}

(5-10x)/(17)<9+6x

\frac{5 - 10 x}{17} < 9 + 6 x

simplify (9!)/((9-2)!)simplify

\frac{9 !}{( 9 - 2 ) !}

(x + 9)^{2} = 20

(2x-3)^2=11x-19

(2 x - 3)^{2} = 11 x - 19

Frequently Asked Questions (FAQ)

What is 5^2-8x+19>= 0 ?
The solution to 5^2-8x+19>= 0 is x<= 11/2