SOLUTION: [ solve this quadratic equation using the quadratic formula: x^2-22x+21=0 ]

Question 818675: [ solve this quadratic equation using the quadratic formula: x^2-22x+21=0 ]
Found 2 solutions by TimothyLamb, jim_thompson5910:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x^2 - 22x + 21 = 0
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the above quadratic equation is in standard form, with a=1, b=-22, and c=21
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to solve the quadratic equation, by using the quadratic formula, plug this:
1 -22 21
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the two real roots (i.e. the two solutions), of the quadratic equation are:
x = 21
x = 1
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Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions are or

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