Mathematics, 16.07.2019 06:00 zamirareece17

Match each equation with its solution set. tiles a2 − 9a + 14 = 0 a2 + 9a + 14 = 0 a2 + 3a − 10 = 0 a2 + 5a − 14 = 0 a2 − 5a − 14 = 0

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Answer from: singhsuryabh

the question does not present the options, but this does not interfere with the resolution

Part 1)

a² − 9a + 14 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² − 9a) =-14

Complete the square. Remember to balance the equation by adding the same constants to each side

(a² − 9a+20.25) =-14+20.25

Rewrite as perfect squares

(a-4.5)² =6.25

(+/-)[a-4.5]=√6.25 (+/-)[a-4.5]=2.5

(+)[a-4.5]=2.5> a=7

(-)[a-4.5]=2.5> a=2

the answer part 1) a=7 and a=2

Part 2)

a² + 9a + 14 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² + 9a) =-14

Complete the square. Remember to balance the equation by adding the same constants to each side

(a² + 9a+20.25) =-14+20.25

Rewrite as perfect squares

(a+4.5)² =6.25

(+/-)[a+4.5]=√6.25 (+/-)[a+4.5]=2.5

(+)[a+4.5]=2.5> a=-2

(-)[a+4.5]=2.5> a=-7

the answer part 2) a=-7 and a=-2

Part 3)

a² + 3a - 10 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² + 3a) =10

Complete the square. Remember to balance the equation by adding the same constants to each side

(a² + 3a+2.25) =10+2.25

Rewrite as perfect squares

(a+1.5)² =12.25

(+/-)[a+1.5]=√12.25 (+/-)[a+1.5]=3.5

(+)[a+1.5]=3.5> a=2

(-)[a+1.5]=3.5> a=-5

the answer part 3) a=2 and a=-5

Part 4)

a² + 5a - 14 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² + 5a) =14

Complete the square. Remember to balance the equation by adding the same constants to each side

(a² + 5a+6.25) =14+6.25

Rewrite as perfect squares

(a+2.5)² =20.25

(+/-)[a+2.5]=√20.25 (+/-)[a+2.5]=4.5

(+)[a+2.5]=4.5> a=2

(-)[a+2.5]=4.5> a=-7

the answer part 4) a=2 and a=-7

Part 5)

a² - 5a - 14 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² - 5a) =14

Complete the square. Remember to balance the equation by adding the same constants to each side

(a² - 5a+6.25) =14+6.25

Rewrite as perfect squares

(a-2.5)² =20.25

(+/-)[a-2.5]=√20.25 (+/-)[a-2.5]=4.5

(+)[a-2.5]=4.5> a=7

(-)[a-2.5]=4.5> a=-2

the answer part 5) a=7 and a=-2

Answer from: Quest

Hope i can you!

Answer from: Quest

It is 5.8 you add all of the up to equat 180 then solve the equation
Need asap! brainliest and 15 points! triangle ghj has the exterior angles shown below.

Need asap! brainliest and 15 points! triangle ghj has the exterior angles shown below.

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Match each equation with its solution set. tiles a2 − 9a + 14 = 0 a2 + 9a + 14 = 0 a2 + 3a − 10 = 0...