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4 years ago

Use the quadratic formula to find the solution to the quadratic equation given

Mathematics

2 answers:

Svetllana [295]4 years ago

8 0

Answer:

C. $x=\frac{5}{2}$

Step-by-step explanation:

The quadratic formula is:

$x_{1,2}=\frac{-b\±\sqrt{b^{2}-4ac}}{2a}$

Where $a$ is the coefficient of the quadratic team. $b$ is the coefficient of the linear term, and $c$ is the independent term.

So, the given equation is:

$x^2 - 5x + \frac{25}{4} = 0$

Where:

$a=1\\b=-5\\c=\frac{25}{4}$

$x_{1,2}=\frac{-(-5)\±\sqrt{(-5)^{2}-4(1)(\frac{25}{4} )}}{2(1)}\\x_{1,2}=\frac{5\±\sqrt{25-25}}{2}\\x_{1,2}=\frac{5\±\sqrt{0}}{2}\\x_{1,2}=\frac{5}{2}$

This means that the equation has a unique solution.

Therefore, the right answer is C.

AfilCa [17]4 years ago

7 0

X= 5/2 is the answer

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3 years ago

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lutik1710 [3]

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Step-by-step explanation:

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Let 't' be the time taken by Francisco to paint one room on his own.

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i.e. $\dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})$

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3 years ago

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15x^2 - 25 answer with a complete sentence

zubka84 [21]

Answer:

No, the following expression is not a difference of squares. Binomial can not be factored as the difference of two perfect squares. 3 is not a square.

Step-by-step explanation:

Factor

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Divide by 3 and factor

5(3x^2-5)

"Theory:

A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression."

I put a picture to help u understand.

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