Answer:
Step-by-step explanation:
Given equation:
Divide both sides by 4:
Subtract 1/4 from both sides:
Simplify:
Answer:
c) x^2 +16x + 64 = 25
Completed question;
Monica is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this?
a) x^2 - 10x - 25 = 14
b)x^2 + 160x +26 = 19
c) x^2 +16x + 64 = 25
d) x^2 - 9x + 81 = 34
Step-by-step explanation:
To solve a quadratic equation by taking the square root of both sides, we should be able to express the equation in the form;
(x + a)^2 = b^2
Or
(x - a)^2 = b^2
From the above options,
Option C looks to give the desired form
x^2 + 16x + 64 = 25
Which can be further factorised as;
(x + 8)^2 = 5^2
(Note: a = 8 and b = 5)
square root of both sides;
x + 8 = +/- 5
x = +5-8 = -3 (solved)
or
x = -5-8 = -13 (solved)
I think the value of x is 20°.
Answer:
∠C = 30°
Step-by-step explanation:
From the given diagram
∠F = ∠C, that is
2x - 30 = x ( add 30 to both sides )
2x = x + 30 ( subtract x from both sides )
x = 30, thus
∠C = x = 30°
