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Ellie Beasley
Mathematics
14 July, 13:10
Solving quadratic equations: x² + 6x + 5 = 45
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Cale Fitzpatrick
14 July, 13:25
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First bring all terms to one side left equal to zero
X^2 + 6x - 40
Now we need to factor this, meaning find 2 binomials that when multiplied result in the original.
Start with (x) (x) because x*x = x^2
The last part is negative, so we can turn it into (x+) (x-)
Now we need to find two numbers that add to 6 and multiply to - 40
The numbers that work are 10 and - 4
Now we put those in to get (x+10) (x-4) = 0
Now it is factored.
Because they equal 0, that means that one or both of the expressions inside the parentheses must equal zero
So we can split it up into x+10=0 and x-4=0
Solving for those we get x=-10 or x=4
Final answer:
X=-10 or x=4
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