How do you use the square root property to solve this equation ${(2 x + 3)}^{2} = 25$ $(2x+3)^2 = 25$ ?

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How do you use the square root property to solve this equation ${(2 x + 3)}^{2} = 25$ $(2x+3)^2 = 25$ ?

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Answer 1 · 2015-08-13T15:37:43

The solutions are
$x = 1, x = - 4$ $color(blue)(x=1,x=-4$

Explanation:

The square root property involves taking the square root of both the terms on either side of the equation.

Applying the same to the given equation:

$\sqrt{{(2 x + 3)}^{2}} = \sqrt{25}$ $sqrt((2x+3)^2)=sqrt(25$

( $\sqrt{25} = \pm 5$ $sqrt25= color(blue)(+-5$ )

So,
$\sqrt{{(2 x + 3)}^{2}} = \pm 5$ $sqrt((2x+3)^2)=color(blue)(+-5$

$(2 x + 3) = \pm 5$ $(2x+3)=color(blue)(+-5$

Solution 1:
$2 x + 3 = + 5$ $2x+3 = +5$
Isolating $x$ $x$
$2 x + 3 - 3 = + 5 - 3$ $2x+3 -color(blue)(3)= +5-color(blue)(3)$
$2 x = 2$ $2x=2$
$x = 1$ $color(blue)(x=1$

Solution 2:
$2 x + 3 = - 5$ $2x+3 = -5$
Isolating $x$ $x$
$2 x + 3 - 3 = - 5 - 3$ $2x+3 -color(blue)(3)= -5-color(blue)(3)$
$2 x = - 8$ $2x=-8$
$x = - 4$ $color(blue)(x=-4$

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How do you use the square root property to solve this equation ${(2 x + 3)}^{2} = 25$ $(2x+3)^2 = 25$ ?

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Explanation:

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Science

Math

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How do you use the square root property to solve this equation (2x+3)2=25(2x+3)^2 = 25?

1 Answer

Explanation:

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How do you use the square root property to solve this equation ${(2 x + 3)}^{2} = 25$ $(2x+3)^2 = 25$ ?