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laila [671]
3 years ago
9

Bill and Jenna are solving the quadratic equation x^2 0 x = 12.

Mathematics
2 answers:
Iteru [2.4K]3 years ago
6 0
I'm assuming the 0s are negative signs. 

Anyway, Jenna did the correct way to solve it. Bill didn't solve the quadratic equation correctly because he didn't proceed to solving for the zeros of the equation - which Jenna did. 
valentina_108 [34]3 years ago
3 0

Answer:

Jenna is correct. Bill made mistake in his first step, he did not write the equation in general form of quadratic equation.

Step-by-step explanation:

The given equation is

x^2-x=12

The general form of a quadratic equation is

Ax^2+Bx+C=0

The given equation can be written as

x^2-x-12=0

x^2-4x+3x-12=0

x(x-4)+3(x-4)=0

(x-4)(x+3)=0

x=4,-3

Therefore, Jenna is correct.

Bill made mistake in his first step, he did not write the equation in general form of quadratic equation.

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garri49 [273]

Answer:

3^{75}.

Step-by-step explanation:

We have been an division problem: \frac{45^{45}*15^{15}}{75^{30}}.

We will simplify our division problem using rules of exponents.

Using product rule of exponents (a*b)^n=a^n*b^n we can write:

45^{45}=(9*5)^{45}=9^{45}*5^{45}

15^{15}=(3*5)^{15}=3^{15}*5^{15}

75^{30}=(15*5)^{30}=15^{30}*5^{30}

Substituting these values in our division problem we will get,

\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}

Using power rule of exponents a^n*a^m=a^{n+m} we will get,

\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}

\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}

Using product rule of exponents (a*b)^n=a^n*b^n we will get,

\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}

\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}

Using power rule of exponents a^n*a^m=a^{n+m} we will get,

\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}

\frac{3^{105}*5^{60}}{3^{30}*5^{60}}

\frac{3^{105}}{3^{30}}

Using quotient rule of exponent \frac{a^m}{a^n}=a^{m-n} we will get,

\frac{3^{105}}{3^{30}}=3^{105-30}

3^{105-30}=3^{75}

Therefore, our resulting quotient will be 3^{75}.

7 0
3 years ago
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