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2 years ago

4x^2+11x-108=0 quadritaic formula solution step by step

Mathematics

1 answer:

jolli1 [7]2 years ago

6 0

Answer:

4 or -6.75

Step-by-step explanation:

Quadratic Formula:

(-b±√b^2-4ac)/2a

= (-11 ±√121 - 4(4)(-108)/ 2(4))

= (-11 ± √1849)/ 8

= (-11 ± 43) /8

= 32/8 OR -54/8

= 4 OR -6.75

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Help plz it is only one question

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4 years ago

Carl buys 1.5 pounds of grapes. The

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Answer:

$3.51

Step-by-step explanation:

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3 years ago

A store owner offered a 25% discount off the regular price of a pair of shoes. The amount of the discount is $4.

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3 years ago

Read 2 more answers

Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

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