karleeahomer
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Please help I will give brainliest if two people answer my question
Which two equations would be most appropriately solved by using the quadratic formula? Select each correct answer. 0.25x2+0.8x−8=0
−(x−3)(x+9)=0
3x² = 9
−2x2+5x=7

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Astute
Hey there,

Well, we would have to remember that the quadratic formula.

For [tex]ax^{2} +bx+c=0[/tex]

[tex]x \frac{-b+ \sqrt{ b^{2}-4ac } }{2a} [/tex]

So by clarifying this formula, we would understand alot more on
how to answer this question.

Your correct answer would be: . . .

0.25x2+0.8x−8=0

And I believe it would also be 

−2x2+5x=7

Because they each illustrate the steps of the formula.

Hope this helps.

~Jurgen

Answer:

Option 1. [tex]0.25x^2+0.8x-8=0[/tex] and 4. [tex]-2x^2+5x=7[/tex] would be solved by the quadratic formula.

Step-by-step explanation:

We know the quadratic formula is used to find the roots of the equation, [tex]ax^{2}+bx+c=0[/tex].

Now, according to the options, we see that all four options are quadratic equations.

But, we will not use the quadratic formula for all.

Because,

[tex]-(x-3)(x+9)=0[/tex] can be easily solved by substituting each individual factor to 0.

[tex]3x^2=9[/tex] also can be easily solve by dividing both sides by 3 and taking square root.

Thus, the only options which will require to the quadratic formula are,

[tex]0.25x^2+0.8x-8=0[/tex]

[tex]-2x^2+5x=7[/tex]

Hence, option 1 and 4 would be solved by the quadratic formula.

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