
<h3>Given:</h3>
▪ 
You need to remember that the form of an Absolute Value Function is:
•<em> </em><em>For the vertex:</em>


• <em>For the</em> definition:
If "a" is positive (+) , then the range of the function is:

If "a" is negative (-), the range of the function is:

In this case we can identify that:




Difference of Cubes Theorem
8x^3 - 27 Factors to (2x - 3)(4x^2 + 6x +9)
Answer:
6
Step-by-step explanation:
Let's solve your equation step-by-step.<span><span><span><span>√x</span>+10</span>−9</span>=<span>−7
</span></span><span><span><span>√x</span>+1</span>=<span>−7
</span></span>Step 1: Add -1 to both sides.
<span><span><span><span>√x</span>+1</span>+<span>−1</span></span>=<span><span>−7</span>+<span>−1
</span></span></span><span><span>√x</span>=<span>−8
</span></span>Step 2: Solve Square Root.
<span><span>√x</span>=<span>−8
</span></span><span>x=<span><span>(<span>−8</span>)</span>2</span></span>(Square both sides)
<span>x=64
</span>Check answers. (Plug them in to make sure they work.)
<span>x=64</span>(Doesn't work in original equation)
Answer:
<span>No solutions.</span>