Solve the quadratic equation, rounding to thousandths when necessary: $$16 x ^ { 2 } = 49$$
A)x = 0.57, -0.57
B)x = 5.74, -5.74
C)x = 1.75, -1.75
D)x = 1.75

Question

Quizplus · Accepted Answer

Starting with the given equation:
$$16 x ^ { 2 } = 49$$
Divide both sides by 16:
$$x^2 = \frac{49}{16}$$
Take the square root of both sides:
$$x = \pm \sqrt{\frac{49}{16}}$$
Simplify the radical:
$$x = \pm \frac{\sqrt{49}}{\sqrt{16}}$$
$$x = \pm \frac{7}{4}$$
Rounding to thousandths:
$$x \approx \pm 1.750$$
Therefore, the solution is:
Answer: C

Solve the Quadratic Equation, Rounding to Thousandths When Necessary 16x2=4916 x ^ { 2 } = 4916x2=49

Solve the Quadratic Equation, Rounding to Thousandths When Necessary $16 x ^ { 2 } = 49$