Question

Is this a quadratic eqn. if yes solve it
${x}^{2} - 18x - 144 = 0$
​

Answer 1

Answer:

Required numeric value x is either - 6 or 24.

Step-by-step explanation:

We know that the equation which can be written in the form of ax^2 + bx + c = 0 is a quadratic equation.

Here,

The given equations satisfies the required formality, so it is a quadratic equation.

= > x^2 - 18x - 144 = 0

By using : Splitting middle term method.

We have to splitting the middle term ( bx ) into two or more parts so that the product of coefficients of parts become equal to the product of coefficients of first and last terms.

Here,

18 can be written as 24 - 6, since product of 24 and 6 is equal to the product of 144 and 1.

Thus,

= > x^2 - ( 24 - 6 )x - 144 = 0

= > x^2 - 24x + 6x - 144 = 0

= > x( x - 24 ) + 6( x - 24 ) = 0

= > ( x + 6 )( x - 24 ) = 0

By Zero Product Rule :

= > x = - 6 of 24.

Hence the required numeric value x is either - 6 or 24.

Answer 2

HELLO !!!

Yes , the given equation is a quadratic equation because it is in the form of ax^2+bx+c=0 .

Solving for x :-

${x}^{2} - 18x - 144=0$

Using the splitting the middle term ,

${x}^{2} - (24 - 6)x - 144=0$

${x}^{2} - 24x - 6x - 144=0$

$x(x - 24) - 6(x + 24)=0$

$(x - 24)(x - 6) = 0$

Therefore , x=24 and x=6 .

HOPE IT HELPS UHH #CHEERS