Mathematics: Which two equations would be most appropriately solved by using the quadratic formula? select each correct answer. (x+8)(x+9)=0 5x2+7x=15 0.25x2+0.8x−8=0 (x−3)2=36

18Step-by-step explanation:you do 9*2...

Which two equations would be most appropriately

herchellann302

15.03.2022

$5x^{2} +7x =15$

$0.25x^{2} +0.8x-8=0$

Step-by-step explanation:

Given equations : (x+8)(x+9)

$5x^{2} +7x =15$

$0.25x^{2} +0.8x-8=0$

$(x-3)^{2}=36$

Solution:

A) $5x^{2} +7x =15$

It is not appropriately solved by using the quadratic formula because the solution is direct

The solution is x=-8 and x=-9

B) $5x^{2} +7x =15$

⇒ $5x^{2} +7x-15=0$

It is appropriately solved by using the quadratic formula because the solution is not direct

C) $0.25x^{2} +0.8x-8=0$

It is appropriately solved by using the quadratic formula because the solution is not direct

D) $(x-3)^{2}=36$

⇒ $(x-3)^{2}=6^2$

⇒ (x-3)=6

⇒ x=6+3

⇒ x=9

It is not appropriately solved by using the quadratic formula because the solution is direct.

Hence Option B and C are the two equations would be most appropriately solved by using the quadratic formula.

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