How do you solve x2−3x−28=0?

Hailee Cline

Hailee Cline

Answered

2022-01-20

How do you solve
x23x28=0?

Answer & Explanation

Kaitlynn Noble

Kaitlynn Noble

Expert

2022-01-21Added 12 answers

Step 1
x23x28=0
We can first factorise this expression by splitting the middle term and then find the solutions:
=x27x+4x28=0
=x(x7)+4(x7)=0
=(x+4)(x7)
Now, we can equate the two factors with zero and find the solutions:
x+4=0, x=4
x7=0, x=7
Anabelle Miller

Anabelle Miller

Expert

2022-01-22Added 12 answers

Step 1
Solve
y=x23x28=0
I use the new Transforming Method. Roots have different signs.
Factor pairs of
(c=28)(2, 14)(4, 7)
This sum is
3=b
Then the 2 real roots are: -4 and 7.
NOTE. By this method, we can avoid the lengthy factoring by grouping and solving the 2 binomials.

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