Solve each question for X , y=-9+x^2

2 answers:

5 0

So basically you want to isolate only one of the variable on one side so
y=-9+x^2
add 9 to both sides
y+9=x^2
square root both sides
$\sqrt{y+9}=x$

x= $\sqrt{y+9}$

olga2289 [7]3 years ago

5 0

Y = -9 + x^2
y + 9 = -9 + 9 + x^2
y + 9 = x^2
√y+9 = √x^2
√y+9 = x
x = √y+9

√ is the square root symbol

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$\textbf{(iii)}\\\\\left\{ \left(\dfrac 13 \right)^{-2} \times \left( \dfrac 12 \right)^{-2}\right\}\div \left(\dfrac 14 \right)^{-3}\\\\\\=\left( \dfrac 13 \times \dfrac 12 \right)^{-2} \div\left(4^{-1}\right)^{-3}\\\\\\=\left(\dfrac 16 \right)^{-2} \div 4^3\\\\\\=\left(6^{-1} \right)^{-2}\div 4^3\\\\\\=6^2 \div 4^3\\\\\\=36\div 64\\\\\\=\dfrac{9}{16}\\\\\\=0.5625$