All categories

3 years ago

Rewrite the equation by completing the square.

Mathematics

1 answer:

Tatiana [17]3 years ago

4 0

Answer:

(x-11/4)^2 = 9/16

Step-by-step explanation:

2x^2 -11x+14 = 0

Subtract 14 from each side

2x^2 -11x+14-14 = -14

2x^2 -11x = -14

Divide each side by 2

2/2x^2 -11/2 x = -14/2

x^2 -11/2 x = -7

Take the coefficient of x

-11/2

Divide by 2

-11/2 /2 = -11/4

Square it

(-11/4) ^ = 121/16

Add this to each side

x^2 -11/2 x + 121/16= -7+121/16

(x+ -11/4)^2 = -7*16/16 + 121/16

(x-11/4)^2 = -112/16 +121/16

(x-11/4)^2 = 9/16

You might be interested in

Can anyone help with these maths questions about transformations please?

salantis [7]

A. Reflection over y = 2

B. Reflection over y axis, reflection over y = 1

C. I'm guessing you just have to draw this one, just put the center on (2,0) and enlarge it by the scale factor

8 0

3 years ago

What is the greatest common factor of 28 and 46?

tester [92]

28=2*2*7=2²*7; 46=2*23=>the greatest common factor is 2

8 0

3 years ago

Read 2 more answers

I have 30 points to give away. One person answers this question and takes 10 points. If another person takes 10 more points, how

Ghella [55]

Answer:

10 points

Step-by-step explanation:

plz brainleist

8 0

3 years ago

Please help!! thank you.

Zina [86]

(A) Product of $-2x^{3}+x-5$ and $x^{3}-3x-4$ is:

$(-2x^{3}+x-5)(x^{3}-3x-4)$

$=-2x^{3}(x^{3}-3x-4)+x(x^{3}-3x-4)-5(x^{3}-3x-4)$

$=(-2x^{3})(x^{3})+(-2x^{3})(-3x)+(-2x^{3})(-4)+x(x^{3})+(x)(-3x)+(x)(-4)+(-5)(x^{3})+(-5)(-3x)+(-5)(-4)$

$=-2x^{6}+6x^{4}+8x^{3}+x^{4}-3x^{2}-4x-5x^{3}+15x+20$

$=-2x^{6}+6x^{4}+x^{4}+ 8x^{3}-5x^{3}-3x^{2}-4x+15x+20$

$=-2x^{6}+7x^{4}+3x^{3}-3x^{2}+11x+20$

(B) Yes.

Product of $-2x^{3}+x-5$ and $x^{3}-3x-4$ = Product of $x^{3}-3x-4$ and $-2x^{3}+x-5$ because multiplication is commutative.

Commutative Property of multiplication says that a.b = b.a.

Thus, multiplication is same irrespective of the order of two numbers.

5 0

3 years ago

1) f(x) = - x2 + 4x - 10<br> Find f(5)

Natali5045456 [20]

Substitute the x with 5
-(5)2 + 4(5) - 10 = 0

3 0

3 years ago