Question

What is the answer to t²=81 , r²-100=0 , x²-144=0 , 2s² = 50 .., 4x²-225=0 & 3h² -147=0 in solving quadratic equation by extracting square roots ??

Answer 1

T=9
R=10
X=12
S=5
X=7.5
H=7

Answer 2

Answer and Explanation:

To find : Solve the quadratic equation by extracting square roots ?

Solution :

1) $t^2=81$

Squaring both side,

$\sqrt{t^2}=\sqrt{81}$

$t=\pm 9$

2) $r^2-100=0$

$r^2=100$

Squaring both side,

$\sqrt{r^2}=\sqrt{100}$

$r=\pm 10$

3) $x^2-144=0$

$x^2=144$

Squaring both side,

$\sqrt{x^2}=\sqrt{144}$

$x=\pm 12$

4) $2s^2=50$

$s^2=\frac{50}{2}$

$s^2=25$

Squaring both side,

$\sqrt{s^2}=\sqrt{25}$

$x=\pm 5$

5) $4x^2-225=0$

$4x^2=225$

$x^2=\frac{225}{4}$

Squaring both side,

$\sqrt{x^2}=\sqrt{\frac{225}{4}}$

$x=\pm\frac{15}{2}$

6) $3h^2-147=0$

$3h^2=147$

$h^2=\frac{147}{3}$

$h^2=49$

Squaring both side,

$\sqrt{h^2}=\sqrt{49}$

$h=\pm 7$