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matrenka [14]
3 years ago
15

Is the given equation a quadratic equation? Explain. x(x−6)=−5

Mathematics
2 answers:
lesya692 [45]3 years ago
4 0

Answer:

Your required answer is option A.

Step-by-step explanation:

<em>Here</em><em>,</em>

<em>The</em><em> </em><em>given</em><em> </em><em>equation</em><em> </em><em>is</em><em>;</em>

<em>x</em><em>(</em><em>x-6</em><em>)</em><em>=</em><em>-5</em>

<em>now</em><em>,</em>

<em>while</em><em> </em><em>finding</em><em> </em><em>x</em><em>.</em>

<em>either</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>or</em><em>,</em>

<em>x</em><em>=</em><em>-5</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>x-6</em><em>)</em><em>=</em><em>-5</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>x</em><em>=</em><em> </em><em>1</em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>shifting</em><em>-6</em><em> </em><em>in</em><em> </em><em>next</em><em> </em><em>side</em><em>)</em>

<em>now</em><em>,</em><em> </em><em>the</em><em> </em><em>value of</em><em> </em><em>x is</em><em> </em><em>-5</em><em>,</em><em>1</em><em>.</em>

<em>so</em><em>,</em><em> </em><em>it's</em><em> </em><em>a</em><em> </em><em>quadratic</em><em> </em><em>equation</em><em>. </em>

<em>(</em><em> </em><em>in</em><em> </em><em>quadratic</em><em> </em><em>equation</em><em> </em><em>the</em><em> </em><em>variable</em><em> </em><em>always</em><em> </em><em>has</em><em> </em><em>two</em><em> </em><em>values</em><em> </em><em>after</em><em> </em><em>solution</em><em>)</em>

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em>

alexandr1967 [171]3 years ago
3 0

Answer:

The equation is a quadratic equation because there is an x2-term.

Step-by-step explanation:

x(x−6)=−5

Distribute

x^2 -6x = -5

The equation is a quadratic equation because there is an x^2-term.

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