Question

Which equation can be rewritten as x 4 = x2? Assume x greater-than 0.

Answer 1

Quadratic equation is the equation in which the highest power of the variable is two and the number of unknown variable is one. The equation which can be written as the given equation is,

$\sqrt{x+4} =x$

Thus the option 3 is the correct option.

Given information

The given equation in the problem is,

$x+4=x^2$

Here $x$ is greater than the zero.

The given equation is in the quadratic form.

Quadratic equation

Quadratic equation is the equation in which the highest power of the variable is two and the number of unknown variable is one.

The given quadratic equation is,

$x+4=x^2$

Take square root both sides,

$\sqrt{x+4} =\sqrt{x^2}$

The square root and square has inverse to each other. Square root of a number cancel the square of the that number. Thus,

$\sqrt{x+4} =x$

Thus the equation which can be written as the given equation is,

$\sqrt{x+4} =x$

Thus the option 3 is the correct option.

Learn more about the quadratic equation here;

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