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Musya8 [376]
1 year ago
15

Solve this quadratic equation and explains the steps to help you solve it . Also which two specific methods help you to solve it

: Is it quadratic formula, Factoring, Square Root Property or Completing square. And explains.

Mathematics
1 answer:
suter [353]1 year ago
3 0

Recall that the quadratic formula states that, the solutions to the quadratic equation

ax^2+bx+c=0

are

\frac{-b\pm\sqrt{(-b)^2-4ac}}{2a}.

Now, in the given equation, a=-1 ,b=-6, and c= 8. Therefore, the solutions to the equation are:

x=\frac{6\pm\sqrt{36+32}}{-2}.

Simplifying the above result, we get:

x=-3\pm(-1)\sqrt{17}.

Answer:

\begin{gathered} x_1=-3+\sqrt{17,} \\ x_2=-3-\sqrt{17}. \end{gathered}

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Peter the optician sees 16 patients one Tuesday. 4 are neither short nor long sighted. The total number of short sighted patient
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Answer:

No of patients having longsightedness =  5

No of patient having shortsightedness = 7

Patients requiring varifocal lenses will be  =12                  

Step-by-step explanation:

Total no of patients = 16

As

No of patients  having neither long nor shortsightedness = 4

Let

No of patients having longsightedness = x

So

No of patient having shortsightedness = x+2

Equation becomes

x+(x+2)+4= 16\\2x+6 = 16\\2x= 16-6\\2x= 10\\x= \frac{10}{2} \\x= 5

Now

No of patients having longsightedness = x= 5

No of patient having shortsightedness = x+2      =5+2

                                                                 = 7

Patients requiring varifocal lenses will be = 5+7

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3 0
3 years ago
The formula for simple interest is I=Prt,I=Prt, where II is the interest earned, PP is the principal, rr is the interest rate an
liubo4ka [24]

Answer:

t = I/pr

Step-by-step explanation:

I = prt

divide both sides by pr

i/pr = prt/pr , pr cancel out

I/pr = t

t = I/pr

7 0
3 years ago
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