Use the quadratic formula to solve the equation, Algebra

Assignment Help:

Example :  Use the quadratic formula to solve following equation.

                           x2+ 2x = 7

Solution

Here the important part is to ensure that before we begin using the quadratic formula that we contain the equation in standard form first.

                                                       x2 + 2 x = 7

Thus, the first thing that we have to do here is to put the equation in standard form.

                                       x2 + 2 x - 7 = 0

At this point we can recognize the values for employ in the quadratic formula. For this equation we contain.

                            a=1            b = 2               c = -7

Notice the "-" along with c. It is significant to ensure that we carry any minus signs along with the constants.

At this instance there actually isn't anything more to do other than plug in the formula.

2468_Use the quadratic formula to solve the equation.png

For this equation there are two solutions. There is also some simplification which we can do. However we have to be careful.  One of the larger mistakes at this instance is to "cancel" two 2's in the numerator & denominator.  Recall that to cancel anything from the numerator or denominator then it has to be multiplied by the whole numerator or denominator. As the 2 in the numerator isn't multiplied by the whole denominator it can't be canceled out.

In order to do any simplification here we will first need to reduce the square root. At that instance we can do some canceling.

1282_Use the quadratic formula to solve the equation1.png

That's a much nicer answer to deal along with and thus we will almost always do this sort of simplification while it can be done.


Related Discussions:- Use the quadratic formula to solve the equation

Linear equations, 5x-3y-11=0 and 3x+10y+17=0 Solve for all variables in eac...

5x-3y-11=0 and 3x+10y+17=0 Solve for all variables in each system of equations

Root, Find all the eighth roots of (19 + 7 i)

Find all the eighth roots of (19 + 7 i)

Factor theorem, Factor Theorem For the polynomial P ( x ) , 1. If va...

Factor Theorem For the polynomial P ( x ) , 1. If value of r is a zero of P ( x ) then x - r will be a factor of P ( x ) . 2. If x - r is a factor of P ( x ) then r will

Find the equilibrium price, Suppose an economy has four sectors, Agricultur...

Suppose an economy has four sectors, Agriculture (A), Energy (E), Manufacturing (M), and Transportation (T). Sector A sells 10% of its output to E and 25% to M and retains the rest

Solving quadratics equations by factoring, the parking lot will have an are...

the parking lot will have an area of 160 square meters.The shorter base is 4m longer than the height of the trapezoid,and the longer base is 8m longer than the height.What is the l

Solving quadratic functions, Sum of two numbers is 10 and their multipicati...

Sum of two numbers is 10 and their multipication is 21,find the two numbers. x^2 -10x +21=0

Operations of Functions, Use (fog)(4), (gof)(4), (fog)(x), and (gof)(x) 1.)...

Use (fog)(4), (gof)(4), (fog)(x), and (gof)(x) 1.) f(x)=x^2+1 and g(x)=x+5

Using transformation sketch the graph, Using transformation sketch the grap...

Using transformation sketch the graph of each of the following.                                             g ( x ) = - x 2 Solution (a)  Depending on the placement of

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd