Question

Michaela and Grace were trying to solve the equation: 4 x 2 − 100 = 0 4x 2 −100=04, x, squared, minus, 100, equals, 0 Michaela said, “I'll factor the left-hand side of the equation as ( 2 x + 10 ) ( 2 x − 10 ) (2x+10)(2x−10)left parenthesis, 2, x, plus, 10, right parenthesis, left parenthesis, 2, x, minus, 10, right parenthesis and solve using the zero product property.” Grace said, “I'll isolate the x 2 x 2 x, squared term by adding 100 100100 and dividing by 4 44 on both sides of the equation. Then I'll solve by taking the square root.” Whose solution strategy would work?

Answer 1

Answer:

Both.

Step-by-step explanation:

Took the stupid quiz

Answer 2

The solution of the given equation 4x² - 100 = 0 will be x = 5.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

4x² - 100 = 0

4x² = 100

Taking square root on both sides;

4x² = 100

√4x² = √100

2x = 10

So,

x = 5

Learn more about quadratic equations;

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