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8090 [49]
3 years ago
13

I need help with question 20​

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0

Step-by-step explanation:

∠1 + ∠2 = 180° (angles on a straight line are supplementary)

x^2 + 3y + 20y + 3 = 180

x^2 + 23y = 177 --(1)

∠1 = ∠3 (vertically opposite angles)

x^2 + 3y = 3y + 4x

x^2 - 4x = 0

x(x - 4) = 0

x = 0 or x = 4

Sub x = 0 and x = 4 into (1):

0^2 + 23y = 177

y = 7.696 (3d.p.)

4^2 + 23y = 177

23y = 161

y = 7

therefore, x = 0 and y = 7.696 or x = 4 and y = 7

This is a question on simultaneous equations + angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

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Solve \ x^4 - 17x^2 + 16 = 0

To solve this equation , we need to write it in quadratic form

ax^2+bx+c=0

To get the equation in quadratic form we replace x^2 with u

x^2 = u

x^4 - 17x^2 + 16 = 0 can be written as

(x^2)^2 - 17x^2 + 16 = 0, Replace u for x^2

So equation becomes

u^2 - 17u + 16 = 0

Now we factor the left hand side

-16  and -1  are the two factors whose product is +16  and sum is -17

(u-16) (u-1) = 0

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WE assume u = x^2, Now we replace u with x^2

u = 16 so \ it \ becomes \ x^2 =16

Now take square root on both sides , x= +4  and x=-4

u = 1 so \ it \ becomes \ x^2 =1

Now take square root on both sides , x= +1  and x=-1

So zeros of the function are -4, -1, 1, 4


8 0
3 years ago
Read 2 more answers
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