Note: I'm afraid I can't put the work for the answers, for lack of time =/
============================================================
1. 0 or -3
2. 0 or 4
3. -2 or 3
4. 0 or 1/2
5. -2 or 3
6. 0 or 5
7. 0 or 7
8. 0 or -2
============================================================
9. Substitute 0 for h in "h = -16x^2 + 16x" then solve for x
0 = -16x^2 + 16x
<span>Subtract -16x^2+16x from both sides.
</span><span>0−<span>(<span><span>−<span>16x2</span></span>+16x</span>)</span></span>=<span><span><span>−<span>16<span>x2</span></span></span>+<span>16x</span></span>−<span>(<span><span>−<span>16x2</span></span>+16x</span>)
</span></span><span><span>16<span>x2</span></span>−<span>16x</span></span>=<span>0
</span>
Factor the left side of the equation
<span><span>16x</span><span>(<span>x−1</span>)</span></span>=<span>0
</span>
Set factors to equal 0
<span><span>16x</span>=<span><span><span>0<span> or </span></span>x</span>−1</span></span>=<span>0
</span>x = 0 or x = 1
Answer:
Step-by-step explanation:
we know that
The quadratic equation in standard form is equal to
we have
This is a quadratic equation in vertex form
Convert to standard form
Apply distributive property
Combine like terms
----> quadratic equation in standard form
Answer:
(ab-bc)²
Step-by-step explanation:
- ab(ab-bc)+bc(bc-ab) = ⇒ distribution
- (ab)² - ab*bc + (bc)² - ab*bc = ⇒ regrouping
- (ab)² - 2ab*bc + (bc)² = ⇒ applying (x-y)² = x² -2xy +y² formula
- (ab-bc)² ⇒ final result
