Question

(x)2 – 35% of 480 + 64 = 96 x 2 +48​

Answer 1

Answer:

Answer is:

±$18.55$

Step-by-step explanation:

Given equation is:

$x^2-35\,percent\, of 480 +64=96\times 2+48$

Hence:

$x^2-\dfrac{35}{100}\times 480+64=192+48\\x^2-\dfrac{1680}{10}+64=192+48\\x^2-168+64=240\\x^2=240+168-64\\x^2=344\\x=\sqrt{344}$

The value of x is ±$18.55$

Answer 2

Answer:

$x=\pm2\sqrt{86}$

Step-by-step explanation:

The given equation is

$x^2-35\%of480+64=96\times2+48$

Convert percentage to decimal

$x^2-0.35\cdot480+64=96\times2+48$

Multiply 0.35 with 480 ad 96 with 2

$x^2-168+64=192+48$

Group the like terms

$x^2=192+48+168-64$

Combine the like terms

$x^2=344$

Take square root both sides

$\sqrt{x^2}=\pm\sqrt{344}$

On Simplifying, we get

$x=\pm\sqrt{4\cdot86}\\\\x=\pm2\sqrt{86}$

The Solution is $x=\pm2\sqrt{86}$