Solve |3x ^ 2 - 8x + 5| >= |3x ^ 2 - 8x + 5| | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$|3x^{2}-8x+5|\ge|3x^{2}-8x+5|$$

Evaluate (complex solution)

$\text{true}$

Solution Steps

Subtract $|3x^{2}-8x+5|$ from both sides.

$$|3x^{2}-8x+5|-|3x^{2}-8x+5|\geq 0$$

Combine $|3x^{2}-8x+5|$ and $-|3x^{2}-8x+5|$ to get $0$.

$$0\geq 0$$

Compare $0$ and $0$.

$$\text{true}$$

Solve for x

$x\in \mathrm{R}$

Solution Steps

Subtract $|3x^{2}-8x+5|$ from both sides.

$$|3x^{2}-8x+5|-|3x^{2}-8x+5|\geq 0$$

Combine $|3x^{2}-8x+5|$ and $-|3x^{2}-8x+5|$ to get $0$.

$$0\geq 0$$

This is true for any $x$.

$$x\in \mathrm{R}$$