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Intermediate Algebra Videos 25 videos

ACT Math 3.1 Intermediate Algebra
1956 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.

ACT Math 1.1 Intermediate Algebra
320 Views

ACT Math Intermediate Algebra Drill 1, Problem 1. What is the product of (a – 3)2?

ACT Math 1.2 Intermediate Algebra
695 Views

ACT Math Intermediate Algebra Drill 1, Problem 2. Find the product of (2a + 6)2.

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ACT Math 4.2 Intermediate Algebra 433 Views


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Description:

ACT Math: Intermediate Algebra Drill 4, Problem 2. What is the root of this equation?

Language:
English Language

Transcript

00:02

And here is your shmoop de jour...

00:06

What is a root of this equation? y2 - y = 4

00:10

And here are the potential answers...

00:16

OK so what is this question asking?

00:18

Sneaky quadratic equation question. We need to pull the root numbers and plug them in

00:25

and see what we get. Remember the quadratic equation? Our old buddy,

00:29

old pal? When an equation is in the form ax squared

00:33

plus bx plus c equals 0... ...the solution can be negative b plus or

00:39

minus radical, b-squared minus 4ac all over 2a.

00:45

That's the quadratic equation formula.

00:47

That's a mouthful. Let's change the equation to y squared minus y minus

00:57

4 equals 0... so it looks like ax squared plus bx plus c equals 0.

01:06

We can see that a is 1, b is negative 1, and c is negative 4.

01:11

When we start pluggin', we get that 1 plus or minus the square root of 1 minus 4 times

01:22

1 times negative 4 all over 2... ...gives us 1 plus or minus the square root

01:29

of 17 over 2. So now we have one solution, or root, of the equation.

01:34

Looks like D.

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