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3 years ago

Solve the following: a.) X^2 - 2x – 24 = 0 b.) x^2 - 11x + 18 =0

Mathematics

2 answers:

wolverine [178]3 years ago

7 0

Answer:

The answer for the first equation is,

X = 6, -4

The answer for second equation is,

X = 9,2

adell [148]3 years ago

4 0

a.) X^2 - 2x – 24 = 0

x^2-6x+4x-24=0

this is expressing negative 2x as the sum of two terms which are negative 6x and positive 4x

x(x-6)+4(x-6)=0

(x+4)(x-6)=0

(x+4)=0. so x=-4

(x-6)=0 so x=6

b.) x^2 - 11x + 18 =0

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Step-by-step explanation:

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svetlana [45]

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4 years ago

Read 2 more answers

Perform the multiplication, (7x2+a2)(x2–3a2)

aksik [14]

Answer:

The given multiplied expression is

$(7x^2+a^2)(x^2-3a^2)=7x^4-20x^2a^2-3a^4$

Step-by-step explanation:

Given expression is $(7x^2+a^2)(x^2-3a^2)$

To find the multiplication of the given expression :

$(7x^2+a^2)(x^2-3a^2)$

By using the distributive property to solve the given expression as below

$(7x^2+a^2)(x^2-3a^2)=(7x^2)(x^2)+(7x^2)(-3a^2)+(a^2)(x^2)+(a^2)(-3a^2)$

$=7x^2.x^2-21x^2a^2+a^2x^2-3a^2.a^2$

$=7x^{2+2}-21x^2a^2+a^2x^2-3a^{2+2}$ ( by using the property $a^m.a^n=a^{m+n}$ )

$=7x^4-21x^2a^2+a^2x^2-3a^4$

Adding the like terms in the above expression we get

$=7x^4-20x^2a^2-3a^4$

Therefore $(7x^2+a^2)(x^2-3a^2)=7x^4-20x^2a^2-3a^4$

Therefore the given multiplied expression is

$(7x^2+a^2)(x^2-3a^2)=7x^4-20x^2a^2-3a^4$

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4 years ago

Using the triangle below, find the length of side c if side a is 15 and θ =55. Round your answer to the nearest tenth.

Kaylis [27]

Answer:

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Step-by-step explanation:

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5 0

3 years ago