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SCORPION-xisa [38]
3 years ago
9

Help me it’s urgent

Mathematics
1 answer:
Ket [755]3 years ago
3 0

Answer:

a_1 = -\dfrac{3}{4}

Step-by-step explanation:

a_1 \times r = a_2

a_1 \times r^2 = a_3

a_1 \times r^3 = a_4

...

a_1 \times r^8 = a_9

\dfrac{a_9}{a_4} = \dfrac{a_1 \times r^8}{a_1 \times r^3} = \dfrac{-196}{6}

r^5 = -32

r = -2

a_1 \times r^3 = a_4

a_1 \times (-2)^3 = 6

a_1 = \dfrac{6}{-8}

a_1 = -\dfrac{3}{4}

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\boxed{x=12 \ and \ x=2}

<h2>Explanation:</h2>

In this exercise, we have the following equation:

x^2-14x+49=25

We can write this Quadratic Equation in Standard Form as follows:

x^2-14x+49=25 \\ \\ Subtract \ 25 \ from \ both \ sides: \\ \\ x^2-14x+49-25=25-25 \\ \\ x^2-14x+24=0 \\ \\

So this is a Non-perfect Square Trinomial. To factor out this, let's choose two numbers such that:

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Those numbers are:

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So we can write this as:

x^2 + (a + b)x + ab=(x + a)(x + b) \\ \\ a=-12 \\ b=-2 \\ \\  x^2-14x+24=(x-12)(x-2)=0 \\ \\ So \ the \ solutions \ are: \\ \\ \boxed{x=12 \ and \ x=2}

<h2>Learn more:</h2>

Quadratic Ffrmua: brainly.com/question/10188317

#LearnWithBrainly

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