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2 years ago

Find the value of x in OQ. 5x-6 2x+9 Need help with this question asap!!

Mathematics

1 answer:

SIZIF [17.4K]2 years ago

6 0

Answer:

$\huge\boxed{\sf x = 5}$

Step-by-step explanation:

Since, the chord is being bisected by the diameter (being divided into two equal parts). Hence,

5x - 6 = 2x + 9

5x - 2x = 9 + 6

3x = 15

Divide both sides by 3

x = 15 / 3

x = 5

$\rule[225]{225}{2}$

Hope this helped!

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Step-by-step explanation:

The given equation is:

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To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

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So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

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So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

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The answer is same from both the approaches.

So, the correct answer is:

C) Both

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