Question

Is the following a quadratic equation (please show me how to solve it):
$x^{2} -3x-\sqrt{x} +4= 0$

Answer 1

Correct Question :

Is the following a Quadratic equation

$x^{2} -3x - x +4= 0$

Solution :

We have,

Quadratic Equation,

$\tt \dagger \: \: \: \: \: {x}^{2} - 3x - x + 4 = 0.$

$\tt{x}^{2} -4x+ 4 = 0.$

Compare with General Equation,

$\tt\dagger \: \: \: \: \: a {x}^{2} + bx + c = 0. \: \: \: \red{a \neq0.}$

Where as,

• a = 1.
• b = -4.
• c = 4.

Let's try to Find there roots,

• Splitting the Middle term.
• Quadratic Formula.

$\rule{90}1$

By Splitting the Middle term.

=> x² - 4x +4 =0.

=> x² -2x - 2x + 4 =0.

=> x( x - 2 ) - 2( x - 2 ) = 0.

=> (x - 2)( x - 2 ) =0.

$\rule{90}1$

Either,

=> x -2 = 0.

=> x = 2.

$\rule{90}1$

Or,

=> x -2 = 0.

=> x = 2.

Therefore, the value of x be 2.