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Arte-miy333 [17]
3 years ago
14

Solve this equation by completing the square: x2 + 4x – 13 = –8

Mathematics
1 answer:
marishachu [46]3 years ago
6 0

Answer:

x = 1 or x = -5

Step-by-step explanation:

We are given;

  • The quadratic equation, x² + 4x - 13 = -8

We are required to solve the equation using the completing square method.

To do this, we use the following steps;

Step 1: We make sure the coefficient of x² is one

x² + 4x - 13 = -8

Step 2: Combine the like terms (take the constant term to the other side)

x² + 4x - 13 = -8

x² + 4x = -8 + 13

we get

x² + 4x  = 5

Step 3: We add the square of half the coefficient of x on both sides of the equation

Coefficient of x = 4

Half of coefficient of x = 2

Square of half the coefficient of x = 2² (4)

We get;

x² + 4x + (2²)  = 5 + (2²)

Step 4: Put x and 2 under one square and the solve the other side of the equation.

We get

(x + 2)² = 5 + 4

(x + 2)² = 9

Step 5: Get the square root on both sides of the equation;

(x + 2)² = 9

√(x + 2)² = ±√9

(x + 2)= ±3

Therefore;

x+2 = + 3 or x + 2 = -3

Thus, x = 1 or -5

The solution of the equation is x = 1 or x = -5

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Find 5 rational numbers between 3/5 and2/3​
Novay_Z [31]

Answer:

The 5 rational are 91/150 , 92/150 , 93/150 , 94/150 , 95/150

Step-by-step explanation:

We have to fine 5 rational numbers between

3/5 and 2/3

First we have to make the denominator same

3/5= 3/5 ×3/3 = 9/15 =9/15×10/10 =90/150

2/3 = 2/3×5/5 = 10/15 = 10/15×10/10 = 100/150

The 5 rational numbers are

91/150 , 92/150 , 93/150 , 94/150 , 95/150

hope this helps :)

3 0
3 years ago
The price decreased by nine dollars
suter [353]

Answer: -9

Step-by-step explanation: it is a negative because it is minus 9$ from the price just like adding -9

6 0
3 years ago
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AURORKA [14]

Answer:

the answer is x=15 cm

Step-by-step explanation:

here the above given figure is a rectangle ABCD with diagonals AC and BD measuring AC= (x+10)cm and BD=(3x-20) cm

Now,

AC=BD

or, 3x-20 = x+10 [ diagonals of a rectangle are equal]

or, 2x = 30

or, x= 15 cm

I HOPE IT WILL HELP YOU!!!

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Answer:

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Step-by-step explanation:

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