Solving Quadratics by Factoring r^2-8r=0

Mathematics

2 answers:

victus00 [196]3 years ago

4 0

Answer:

r = 0, r = 8

Step-by-step explanation:

Given

r² - 8r = 0 ← factor out r from each term

r(r - 8) = 0

Equate each factor to zero and solve for r

r = 0

r - 8 = 0 ⇒ r = 8

Romashka [77]3 years ago

3 0

Answer:

<h2>Algebra Examples</h2><h2>Popular Problems Algebra Solve Using the Quadratic Formula r^2-8r=0</h2><h2>r</h2><h2>2</h2><h2>−</h2><h2>8</h2><h2>r</h2><h2>=</h2><h2>0</h2><h2>r2-8r=0</h2><h2>Use the quadratic formula to find the solutions.</h2><h2>−</h2><h2>b</h2><h2>±</h2><h2>√</h2><h2>b</h2><h2>2</h2><h2>−</h2><h2>4</h2><h2>(</h2><h2>a</h2><h2>c</h2><h2>)</h2><h2>2</h2><h2>a</h2><h2>-b±b2-4(ac)2a</h2><h2>Substitute the values </h2><h2>a</h2><h2>=</h2><h2>1</h2><h2>a=1, </h2><h2>b</h2><h2>=</h2><h2>−</h2><h2>8</h2><h2>b=-8, and </h2><h2>c</h2><h2>=</h2><h2>0</h2><h2>c=0 into the quadratic formula and solve for </h2><h2>r</h2><h2>r.</h2><h2>8</h2><h2>±</h2><h2>√</h2><h2>(</h2><h2>−</h2><h2>8</h2><h2>)</h2><h2>2</h2><h2>−</h2><h2>4</h2><h2>⋅</h2><h2>(</h2><h2>1</h2><h2>⋅</h2><h2>0</h2><h2>)</h2><h2>2</h2><h2>⋅</h2><h2>1</h2><h2>8±(-8)2-4⋅(1⋅0)2⋅1</h2><h2>Simplify.</h2><h2>Tap for more steps...</h2><h2>r</h2><h2>=</h2><h2>4</h2><h2>±</h2><h2>4</h2><h2>r=4±4</h2>

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