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
Answer:
x = - 9, x = 10
Step-by-step explanation:
Given
x² - x - 90 = 0
Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)
The factors are - 10 and + 9, since
- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus
(x - 10)(x + 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 10 = 0 ⇒ x = 10
x + 9 = 0 ⇒ x = - 9
lesser x = - 9
greater x = 10
The answer is 1 because that's the point on the graph where x meets 0, or (0, 1)
