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elena55 [62]
2 years ago
7

HElp meee mwa mwa mwa

Mathematics
2 answers:
andriy [413]2 years ago
8 0

Answer:

a = 1,  -3

Step-by-step explanation:

Given equation:

(a-6)(a+8)=-45

Expand the brackets:

\implies a^2+8a-6a-48=-45

\implies a^2+2a-48=-45

Add 45 to both sides:

\implies a^2+2a-48+45=-45+45

\implies a^2+2a-3=0

To factor a quadratic in the form ax^2+bx+c, find two numbers that multiply to ac and sum to b.  

Two numbers that multiply to -3 and sum to 2 are: 3 and -1.  

Rewrite the middle term as the sum of these two numbers:

\implies a^2+3a-a-3=0

Factorize the first two terms and the last two terms separately:

\implies a(a+3)-1(a+3)=0

Factor out the common term (a + 3):

\implies (a-1)(a+3)=0

Apply the <u>zero product property</u>:

\implies (a-1)=0 \implies a=1

\implies (a+3)=0 \implies a=-3

Verify the solutions by inputting the found values of a into the original equation:

a=1 \implies (1-6)(1+8) & =-5 \cdot 9 = -45

a=-3 \implies (-3-6)(-3+8) & =-9 \cdot 5 = -45

Hence both found values of a are solutions of the given equation.

Learn more about factorizing quadratics here:

brainly.com/question/27956741

brainly.com/question/27947331

nadya68 [22]2 years ago
4 0

Answer:

a = 1, \  - 3

Explanation:

(a-6)(a+8) = -45

distribute

a^2 + 8a - 6a - 48 = -45

collect terms

a^2 + 8a - 6a - 48 + 45=0

simplify

a^2 + 2a - 3=0

factor

(a - 1)(a + 3)= 0

set to zero

a = 1, \  - 3

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7 0
2 years ago
476×11 =__ I need answer with shown work.
Shtirlitz [24]

the answer would be 5236

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3 0
3 years ago
What is the solution of 4+ 5x+66 = x+ 10? O x = -10 Ox=3 O x=-10 or x = 3 O no solution​
Alla [95]

Hey there!

4 + 5x + 66 = x + 10

70 + 5x = x + 10

5x + 70 = x + 10

SUBTRACT x to BOTH SIDES

5x + 70 - x = x + 10 - x

5x + 70 - 1x = 1x + 10 - 1x

SIMPLIFY IT!
4x + 70 = 10

SUBTRACT 70 to BOTH SIDES

4x + 70 - 70 = 10 - 70

SIMPLIFY IT!
4x = -60

DIVIDE 4 to BOTH SIDES

4x/4 = -60/4

SIMPLIFY IT!
x = -60/4

x = -15


Therefore, your answer is: x = -15


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

8 0
3 years ago
Read 2 more answers
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