The solution of the equation 4x² - 20x + 9 = 0 will be 0.5 and 4.5.
<h3>What is a quadratic equation?</h3>
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
The equation is given below.
x² - 5x = -9/4
Then the equation can be written as
4x² - 20x + 9 = 0
Then the factor of the equation will be
4x² - 20x + 9 = 0
4x² - 18x - 2x + 9 = 0
2x(2x - 9) -1 (2x - 9) = 0
(2x - 1)(2x - 9) = 0
Then the solution of the equation 4x² - 20x + 9 = 0 will be
x = 0.5, 4.5
More about the quadratic equation link is given below.
brainly.com/question/2263981
#SPJ1
Since it is isosceles right triangle, both legs = 5 inches.
using pythagoras theorem,
hypotenuse^2 = 5^2 +5^2 = 25+25 = 50
taking square root on both sides,
hypotenuse = sqrt 50 = 5 sqrt 2 or 7.071
rounded to nearest tenth,
length of hypotenuse is 7.1 inches.
<span>length of a diagonal of the square = </span>√(12^2 + 12^2)
= √(144 + 144)
= √288
= 16.97 cm
A) 2 and 7
B) 2 and 6
C)6 and 3
Formula of the midpoint:
x =(x₁+x₂)/2 and y = (y₁+y₂)/2
Plugin the respective value
for A(0,1/2) and B(0, 3/4)
x= (0+0)/2 = 0
y = (1/2 + 3/4)/2 = 5/8
Then the midpoint of the line segment whose endpoints are (0,1/2 ) and (0,3/4 ). is M(0, 5/8) or M(0, 0.625)
