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Mathematics

Grade-11

Easy

Question

Use the zero-product property to solve
$left parenthesis x plus 4 right parenthesis left parenthesis 4 space x minus 5 right parenthesis equals left parenthesis 7 space x plus 10 right parenthesis left parenthesis 3 space x minus 2 right parenthesis$ .

$0, \frac{5}{17}$
$0, \frac{- 5}{17}$
$0, \frac{17}{5}$
$0, \frac{- 17}{5}$

The correct answer is: $0 comma space fraction numerator negative 5 over denominator 17 end fraction$

$left parenthesis x plus 4 right parenthesis left parenthesis 4 space x minus 5 right parenthesis equals left parenthesis 7 space x plus 10 right parenthesis left parenthesis 3 space x minus 2 right parenthesis 4 x squared plus 11 x minus 20 equals 21 x squared plus 16 x minus 20 4 x squared plus 11 x minus 20 minus 4 x squared minus 11 x plus 20 equals 21 x squared plus 16 x minus 20 minus 4 x squared minus 11 x plus 20 0 equals 17 x squared plus 5 x 0 equals x left parenthesis 17 space x plus 5 right parenthesis x equals 0 text or end text 17 x plus 5 equals 0 x equals 0 text or end text 17 x plus 5 minus 5 equals 0 minus 5 x equals 0 text or end text 17 x equals negative 5 x equals 0 text or end text fraction numerator 17 x over denominator 17 end fraction equals fraction numerator negative 5 over denominator 17 end fraction x equals 0 text or end text x equals negative 5 over 17$
The solution are 0 and $negative 5 over 17$ .The solution set is $open curly brackets 0 comma negative 5 over 17 close curly brackets$ .

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Determine the solutions of the quadratic equation $x squared minus 8 x plus 16 equals 0$ . by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

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Solve the quadratic equation below using the Square Root Method.
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Select the statement that is true about the graph of the function $straight f left parenthesis straight x right parenthesis equals left parenthesis straight x plus 5 right parenthesis squared plus 7$ .

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Solve the quadratic equation below using the Square Root Method.
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What is the function of the kick in question 5 ?

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How far from the goal line is the football placed in the figure shown?

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Solve the quadratic equation below using the Square Root Method.
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For which of the following zero product property can be applicable?

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