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Roman55 [17]
3 years ago
9

Choose the correct factorization for the polynomial.

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
4 0

Answer:

D (4y-5)(3x-5)

Step-by-step explanation:

12xy -15x -20y +25

I will factor by grouping

12xy -15x      -20y +25

Factor out 3x from the first group and -5 from the second group

3x(4y-5)  -5(4y-5)

Now factor out (4y-5)

(4y-5)(3x-5)

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Find the discriminant, and determine the number of real solutions. then solve x^2 +8x+20=0
vodomira [7]

Answer:

Part 1) The quadratic equation has zero real solutions

Part 2) The solutions are

x_1=-4+2i   and x_2=-4-2i

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}+8x+20=0  

so

a=1\\b=8\\c=20

The discriminant is equal to

D=(b^{2}-4ac)

If D=0 -----> the quadratic equation has only one real solution

If D>0 -----> the quadratic equation has two real solutions

If D<0 -----> the quadratic equation has two complex solutions

<em>Find the value of D</em>

D=8^{2}-4(1)(20)=-16 -----> the quadratic equation has two complex solutions

<em>Find out the solutions</em>

substitute the values of a,b and c in the formula

x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(20)}} {2(1)}

x=\frac{-8(+/-)\sqrt{-16}} {2}

Remember that

i=\sqrt{-1}

x=\frac{-8(+/-)4i} {2}

x_1=\frac{-8(+)4i} {2}=-4+2i

x_2=\frac{-8(-)4i} {2}=-4-2i

8 0
3 years ago
Find the Value of X<br><br>a.) x=5<br>b.)x=13<br>c.)x=37<br>d.)x=73
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Hey!!

Total angle - 180

... 2x + 4 + 2x - 9 + x = 180

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... 5x - 5 = 180

... 5x = 185

... x = 185 / 5

... x = 37


Hope my answer helps!!


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