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3 years ago

Use the square root property to solve: 5x^2+8 =133 Please help

Mathematics

2 answers:

WARRIOR [948]3 years ago

8 0

Answer:

x = ± 5

Step-by-step explanation:

<u>See the steps</u>

5x^2+8 = 133
5x^2 = 133 - 8
5x^2 = 125
x^2 = 125/5
x^2 = 25
√x² = √25
x = ± 5

Oksi-84 [34.3K]3 years ago

8 0

Answer:

x=5

x=−5

Step-by-step explanation:

5x^2+8 =133

Subtract 8 from both sides.

5x^2=133−8

Subtract 8 from 133 to get 125.

5x^2=125

Divide both sides by 5.

x^2=125/5

Divide 125 by 5 to get 25.

x^2=25

Take the square root of both sides of the equation.

x=5

x=−5

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$\huge\underline{\frak{ \: \: \: \: \: \: Solution : \: \: \: \: \: \: }} \\ \\$

$\frak {\pink{Let}}\begin{cases} \sf{\red{Breadth \: be \: x}}\\ \sf{\orange{The \: Length = x + 9}}\end{cases} \\$

$\bigstar \: \underline{\textsf{According to the given Question :} }\\ \\$

$:\implies \sf Area = Length \times Breadth \\ \\ \\$

$:\implies \sf 360=(x + 9 ) x \\ \\ \\$

$:\implies \sf 360= {x}^{2} + 9x \\ \\ \\$

$:\implies \sf {x}^{2} + 9x - 360 = 0\\ \\ \\$

$:\implies \sf {x}^{2} + 24x - 15x - 360 = 0\\ \\ \\$

$:\implies \sf x(x + 24) - 15(x + 24) = 0\\ \\ \\$

$:\implies \sf (x + 24) \: (x - 15) = 0\\ \\ \\$

$:\implies \underline{ \boxed{ \sf x = - 24 \: or \: x = 15}}\\ \\ \\$

$\therefore\:\underline{\textsf{Ignoring the negative value, the Breadth of rectangular garden is \textbf{15 ft}}}. \\ \\ \\$

$\bigstar \: \underline{\textsf{Dimensions of rectangular garden :}} \\ \\$

$\bullet\:\:\textsf{The Breadth of rectangular garden = x = \textbf{15 ft.}} \\ \\$

$\bullet\:\:\textsf{The Length of rectangular garden = x + 9 = 15 + 9 = \textbf{24 ft.}} \\ \\$

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