Question

8. Solve each of the following equations. (a) 7f + f2 = 60 (b) 15 = 8h2 – 2h​

Answer 1

Answer:

no!

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

7f+f2=60

We move all terms to the left:

7f+f2-(60)=0

We add all the numbers together, and all the variables

f^2+7f-60=0

a = 1; b = 7; c = -60;

Δ = b2-4ac

Δ = 72-4·1·(-60)

Δ = 289

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions

f1=−b−Δ√2af2=−b+Δ√2a

15=8h^2-2h

We move all terms to the left:

15-(8h^2-2h)=0

We get rid of parentheses

-8h^2+2h+15=0

a = -8; b = 2; c = +15;

Δ = b2-4ac

Δ = 22-4·(-8)·15

Δ = 484

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

h1=−b−Δ√2ah2=−b+Δ√2a

Δ−−√=484−−−√=22

h1=−b−Δ√2a=−(2)−222∗−8=−24−16=1+1/2

h2=−b+Δ√2a=−(2)+222∗−8=20−16=−1+1/4

Δ−−√=289−−−√=17

f1=−b−Δ√2a=−(7)−172∗1=−242=−12

f2=−b+Δ√2a=−(7)+172∗1=102=5