SOLUTION: Hi! Please anybody just help me with my works. Thank you very much in advance for any of your help. (a) Use the quadratic formula to solve the equation 3p2 + 5p — 11 = 0. Giv

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Question 770382: Hi! Please anybody just help me with my works. Thank you very much in advance for any of your help.
(a) Use the quadratic formula to solve the equation
3p2 + 5p — 11 = 0.
Give your answers correct to two decimal places.
MY ANSWER: 1.25 and -2.92 are these correct?
(b) Find the discriminant of the quadratic expression 7x2 — 3x — 11.
MY ANSWER: d=317 is it correct?
(c) Write the quadratic expression x2 — 34x + 9 in completed-square
form.
MY ANSWER: (x-7)^2=280 is it correct?
(d) Use the completed-square form from part (c) to solve the equation x2 — 34x + 9 = 0, leaving your answer in exact (surd)form.
MY ANSWER: x1=7+2surd70 and x2=7-2surd70 are these correct?
(e) Use the completed-square form from part (d) to write down the
vertex of the parabola y = x2 — 34x + 9
MY ANSWER: y=-280 x=7 are these correct?


Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
(a) Use the quadratic formula to solve the equation
3p2 + 5p — 11 = 0.
Give your answers correct to two decimal places.
MY ANSWER: 1.25 and -2.92 are these correct?
============================
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=157 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.25499401435694, -2.92166068102361. Here's your graph:


=================================================
It's correct to 2 places.
-------------------------------------------
(b) Find the discriminant of the quadratic expression 7x2 — 3x — 11.
MY ANSWER: d=317 is it correct?
Disc = b^2 - 4ac = 9 + 4*(7*11) = 317
===============================================
(c) Write the quadratic expression x2 — 34x + 9 in completed-square
form.
MY ANSWER: (x-7)^2=280 is it correct?
-----

Not (x-7)^2
-------------------
(d) Use the completed-square form from part (c) to solve the equation x2 — 34x + 9 = 0, leaving your answer in exact (surd)form.
MY ANSWER: x1=7+2surd70 and x2=7-2surd70 are these correct?
Use sqrt, not surd
Use ^ for exponents, Shift 6
--------------
x^2 - 34x + 9 = 0





=====================================
(e) Use the completed-square form from part (d) to write down the
vertex of the parabola y = x2 — 34x + 9
MY ANSWER: y=-280 x=7 are these correct?
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