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3 years ago

Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?

Mathematics

2 answers:

strojnjashka [21]3 years ago

4 0

Answer:

n = 9/4

x2 – 3x + 9/4

Ksenya-84 [330]3 years ago

3 0

Answer:

n = 9/4

x2 – 3x + 9/4

Step-by-step explanation:

The discriminant, for an equation 0 = ax^2 + bx + c , is b^2 - 4ac.

When there are no solutions, the number given by the discriminant will be less than 0. When there are two solutions, the number given by the discriminant will be more than zero.

However, if there is but one solution, the number given by the discriminant will be 0. Therefore, we can determine the missing term in your equation by setting the discriminant to 0 and solving for c , or the constant term, which is the one we don't know.

then a = 1, b =-3 and c =n

b^2 - 4ac = 0

(-3)^2 - 4 (a)(n) = 0

9 - 4n = 0

-4n = -9

n = 9/4

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vampirchik [111]

Answer:

Solution of equation ( x ) = 7

Step-by-step explanation:

In this question we have given with an equation that is 4 ( 5x - 2 ) = 2 ( 9x + 3 ). And we are asked to solve this equation that means we have to find the value of x.

Solution : -

 $\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )$ 

Step 1 : Removing parenthesis :

$\quad \longrightarrow \:20x - 8 = 18x + 6$

Step 2 : Adding 8 from both sides :

$\quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8$

On further calculations we get :

$\quad \longrightarrow \:20x = 18x + 14$

Step 3 : Subtracting 18 from both sides :

$\quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}$

On further calculations we get :

$\quad \longrightarrow \:2x = 14$

Step 4 : Dividing with 2 on both sides :

$\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{\frac{14}{2} }$

On further calculations we get :

$\quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}$

Therefore, solution of this equation is 7 or we can say that value of this equation is 7 .

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

4 ( 5x - 2 ) = 2 ( 9x + 3 )

4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

4 ( 35 - 2 ) = 2 ( 63 + 3 )

4 ( 33 ) = 2 ( 66 )

132 = 132

L.H.S = R.H.S

Hence, Verified.

Therefore, our value for x is correct .

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