Solve the following quadratic equation using square roots: (x−18)2=196 .(1 point) Responses ​ {−4,−32} ​ left brace negative 4 comma negative 32 right brace {214,−178} left brace 214 comma negative 178 right brace {32,4} left brace 32 comma 4 right brace {21,5}

1 answer

To solve the equation (x−18)² = 196, we can take the square root of both sides:
√((x−18)²) = √196

This simplifies to:
x−18 = ±14

Now, we can add 18 to both sides to isolate x:
x = 18 ± 14

So the solutions to the quadratic equation are:
x = 18 + 14 = 32
x = 18 - 14 = 4

Therefore, the correct answer is {32, 4}.
Similar Questions
  1. Solving Simple Quadratic Equations Quick Check5 of 55 of 5 Items Question Solve the following quadratic equation using square
    1. answers icon 1 answer
  2. Solving Simple Quadratic Equations Quick Check4 of 54 of 5 Items Question Solve the following quadratic equation using square
    1. answers icon 1 answer
  3. Solving Simple Quadratic Equations Quick Check3 of 53 of 5 Items Question Solve the following quadratic equation using square
    1. answers icon 1 answer
  4. Solve the following quadratic equation using square roots: (x+36)2−38=251( 𝑥 + 36 ) 2 − 38 = 251 .(1 point) Responses
    1. answers icon 1 answer
more similar questions