<h2><u>
Answer:</u></h2><h2><u />
<u /></h2><h2><u /></h2><h2>
<u>Solution Steps:</u></h2>
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<h3>
</h3><h3>
1.) <u>
Change the equation using factored transformation:</u>
</h3>
<em> - Quadratic polynomial can be factored using the transformation </em><em>, where </em><em> and </em><em> are the solutions of the quadratic equation </em><em>. </em>
<em> - This steps basically means change you current equation using the formula </em><em>. </em>
<h3>2.) <u>Turn the factored form into the quadratic equation form:</u></h3>
<em> - All equations of the form </em><em> can be solved using the quadratic formula: </em><em>.</em>
<em> - The quadratic equation formula gives two solutions, one when </em><em> is addition and one when it is subtraction. </em>
<em />
<h3>3.) <u>Square -15:</u></h3>
<u>Equation at the end of Step 3:</u>
- <u /><u />
<u />
<h3>4.) <u>Multiply −4 times 4:</u></h3>
- ×
<u>Equation at the end of Step 4:</u>
- <u /><u />
<h3 /><h3>5.) <u>Multiply −16 times −4:</u></h3>
- ×
<u>Equation at the end of Step 5:</u>
- <u />
<h3 /><h3>6.) <u>Add 225 to 64:</u></h3>
<u>Equation at the end of Step 6:</u>
- <u /><u />
<h3 /><h3>7.) <u>Take the square root of 289:</u></h3>
<u>Equation at the end of Step 7:</u>
- <u /><u />
<h3 /><h3>8.) <u>Change -15 to positive 15:</u></h3>
<u>Equation at the end of Step 8:</u>
- <u /><u />
<h3 /><h3>9.) <u>Multiply 2 by 4:</u></h3>
- ×
<u>Equation at the end of Step 9:</u>
- <u /><u />
<h3> </h3><h3>10.) <u>Now Solve:</u></h3>
<em>Now solve the equation </em><em> when </em><em> is plus.</em>
<em>Add 15 to 17:</em>
- <em /><em />
- <em /><em><u /></em>
<em>Divide 32 by 8: </em>
- ÷
<em>Now solve the equation </em><em> when </em><em> is minus.</em>
<em>Subtract 15 by 17:</em>
<em> Reduce the fraction to lowest terms by extracting and canceling out 2:</em>
- ÷
- ÷
<h3>11.) <u>Factor the expression:</u></h3>
<em>Factor the original expression using </em><em>. Substitute 4 for </em><em> and </em><em> for </em><em>:</em>
- <em /><em />
<em />
<em>Simplify all the expressions of the form </em> to <em>:</em>
<em>Add </em><em> to x by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible:</em>
<em>Cancel out 4, the greatest common factor in 4 and 4:</em>
- <em /><em />
<em />
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