Solve y=2x²-5x+6: Complete Quadratic Function Guide

y=2x25x+6 y=2x^2-5x+6

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the function coefficients
00:03 Use the formula to represent a quadratic equation
00:18 Separate the variable from the coefficient
00:31 Compare the formula to our equation and find the coefficients
00:40 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

y=2x25x+6 y=2x^2-5x+6

2

Step-by-step solution

In fact, a quadratic equation is composed as follows:

y = ax²-bx-c

 

That is,

a is the coefficient of x², in this case 2.
b is the coefficient of x, in this case 5.
And c is the number without a variable at the end, in this case 6.

3

Final Answer

a=2,b=5,c=6 a=2,b=-5,c=6

Practice Quiz

Test your knowledge with interactive questions

What is the value of the coefficient \( b \) in the equation below?

\( 3x^2+8x-5 \)

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