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2 Solve each equation for x. a) x^2=225 b) x^2=1 c) x^2=400 d) x^2=(16)/(121)

Pergunta

2 Solve each equation for x.
a) x^2=225
b) x^2=1
c) x^2=400
d)
x^2=(16)/(121)

2 Solve each equation for x. a) x^2=225 b) x^2=1 c) x^2=400 d) x^2=(16)/(121)

Solução

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LucianoEspecialista · Tutor por 3 anos

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To solve each equation for x, we need to take the square root of both sides of the equation.<br /><br />a) $x^{2}=225$<br />Taking the square root of both sides, we get:<br />$x = \pm \sqrt{225}$<br />$x = \pm 15$<br /><br />b) $x^{2}=1$<br />Taking the square root of both sides, we get:<br />$x = \pm \sqrt{1}$<br />$x = \pm 1$<br /><br />c) $x^{2}=400$<br />Taking the square root of both sides, we get:<br />$x = \pm \sqrt{400}$<br />$x = \pm 20$<br /><br />d) $x^{2}=\frac{16}{121}$<br />Taking the square root of both sides, we get:<br />$x = \pm \sqrt{\frac{16}{121}}$<br />$x = \pm \frac{4}{11}$<br /><br />Therefore, the solutions for each equation are:<br />a) $x = \pm 15$<br />b) $x = \pm 1$<br />c) $x = \pm 20$<br />d) $x = \pm \frac{4}{11}$
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