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Brums [2.3K]
2 years ago
12

3) Find the values of a,b ,c and for y=x^2-9x+18.

Mathematics
1 answer:
NeX [460]2 years ago
6 0

Answer:

a = 1

b = -9

c = 18

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What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?
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Answer:

16

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

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We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

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x² + 8x = 24

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x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

or

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

6 0
3 years ago
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What two numbers add to 9 and multiply to -70
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X, y - the numbers

The numbers add to 9 and multiply to -70.
x+y=9 \\&#10;xy=-70 \\ \\&#10;y=9-x \\&#10;xy=-70 \\ \\&#10;\hbox{substitute 9-x for y in the second equation:} \\&#10;x(9-x)=-70 \\&#10;9x-x^2=-70 \\&#10;-x^2+9x+70=0 \\&#10;-x^2+14x-5x+70=0 \\&#10;-x(x-14)-5(x-14)=0 \\&#10;(-x-5)(x-14)=0 \\&#10;-x-5=0 \ \lor \ x-14=0 \\&#10;x=-5 \ \lor \ x=14 \\ \\&#10;y=9-x \\&#10;y=9-(-5) \ \lor \ y=9-14 \\&#10;y=14 \ \lor \ y=-5 \\ \\&#10;(x,y)=(-5,14) \hbox{ or } (x,y)=(14,-5)

The numbers are -5 and 14.
4 0
3 years ago
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