what is quadeactic equation X^2=400


Sagot :

the answer is x=20

x² = 400 .. u square root both sides , making the exponent on the x be cancelled
.. then the square root of 400 is 20 so

x=20

Answer:

= − 20

Step-by-step explanation:

Move terms to the left side

2=400

x^{2}=400x2=400

2−400=0

Use the quadratic formula

[tex] \times = \frac{ - \: b \:

+ \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

  • Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

^2 − 400 = 0

a = 0

b = 1

c = - 400

[tex] \times = \frac{ - 0 + \sqrt{ {0}^{2} - 4.1( - 400)} }{2.1} [/tex]

  • Evaluate the exponent

  • Multiply the numbers

  • Add the numbers

  • Evaluate the square root

  • Multiply the numbers

[tex] \times = \frac{0 + 40}{2} [/tex]

[tex] \times = \frac{0 - 40}{2} [/tex]

Rearrange and isolate the variable to find each solution

= 20

= − 20