How do you solve a^{2}+a-30=0?

ardeinduie

ardeinduie

Answered question

2022-01-22

How do you solve
a2+a30=0?

Answer & Explanation

Gordon Stephens

Gordon Stephens

Beginner2022-01-23Added 10 answers

Step 1
a2+a30=0
Find two numbers that when added equal 1, and when multiplied equal -30
The numbers -5 and 6 fit the pattern.
a2+a30=0=
(a5)(a+6)=0
Set (a5) equal to zero and solve for a.
a5=0
a=5
Set (a+6) equal to zero and solve for a.
a+6=0
a=6
a=6, 5
spelkw

spelkw

Beginner2022-01-24Added 12 answers

Step 1
y=x2+x30=0
Find 2 numbers knowing sum (-1) and product (-30). Roots have opposite signs. Factor pairs of
(30)(3, 10)(5, 6)
This sum is 1=b
Then the 2 real roots are the opposite 5 and -6

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