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2 years ago

Use the zero product property to find the POSSIBLE solutions to the equation x2 – 9 = 16.

Mathematics

1 answer:

Wittaler [7]2 years ago

4 0

Answer:

x = -5 or +5

Step-by-step explanation:

Subtract 16 and factor.

x^2 -9 = 16 . . . . . given

x^2 -25 = 0 . . . . subtract 16; the difference of squares

(x -5)(x +5) = 0 . . . . the factored form

The zero product property says possible solutions are found where the factors are zero.

x -5 = 0

x = 5 . . . . . add 5

x +5 = 0

x = -5 . . . . . subtract 5

Possible solutions are x=-5 or x=5.

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2 years ago

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Step-by-step explanation:

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2 years ago

Complete the square to factor X^2 +10X=-8

ella [17]

Answer: $x=\sqrt{17}-5$ and $x = -\sqrt{17}-5$

Step-by-step explanation:

Alright, lets get started.

The given equation is :

$x^{2} +10x = -8$

Adding 8 in both sides, it will become

$x^{2} +10x + 8 = -8 +8$

$x^{2} +10x + 8 = 0$

To make it perfect square, we need to add 25 and subtract 25

$x^{2} +10x + 8 +25-25= 0$

$x^2+10x+25+8-25=0$

$(x+5)^2+8-25=0$

$(x+5)^2-17=0$

Adding 17 in both sides

$(x+5)^2=17$

taking square root

$x+5=\sqrt{17}$

So,

$x=\sqrt{17}-5$ and $x = -\sqrt{17}-5$ .. Answer

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