What is the missing step in the proof ?
1 answer:
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All the given equations have 2 real solutions except for equation 4 which has only one real root.
<h3>What is a quadratic equation?</h3>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.
The given quadratic equation
where, a = 12, b = -9 and c = 4
x =
x =
x = 1.063 or -0.313
Second Equation
where, a = 1, b = 10, c = -2
substitute the values into the equation
x =
x = 0.195 or -10.195
Third Equation
where, a = 5, b = -1, c = - 5
x =
x = 0.905 or -0.55
Fourth Equation
where, a = 1, b = -8, c = 16
x =
x =
x = 4
Learn more about quadratic equations;
Answer:
Option (E)
Step-by-step explanation:
In the figure attached,
Given a isosceles right triangle with two equal legs measuring units
By Pythagoras theorem,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
Since, hypotenuse = h
Leg 1 = Leg 2 = 3√2
Now we substitute the values,
h² = (3√2)² + (3√2)²
h² = 18 + 18
h = √36
h = 6 units
Therefore, length of the hypotenuse is 6 units.
Option (E) will be the answer.