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Answer:Let's solve your equation step-by-step.
24=x2−4x+3
Step 1: Subtract x^2-4x+3 from both sides.
24−(x2−4x+3)=x2−4x+3−(x2−4x+3)
−x2+4x+21=0
Step 2: Factor left side of equation.
(−x−3)(x−7)=0
Step 3: Set factors equal to 0.
−x−3=0 or x−7=0
x=−3 or x=7
Answer:
x=−3 or x=7
Step-by-step explanation:
The equation by completing the square will be (x - 2)² - 25 = 0. And the solution of the equation will be negative 3 and 7.
What is a quadratic equation?
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The equation is given below.
24 = x² - 4x + 3
Simplify the equation, then we have
x² - 4x + 3 - 24 = 0
x² - 4x - 21 = 0
Convert the equation into a square form.
First half the coefficient of x and then square it, then add and subtract. Then we have
x² - 4x + 4 - 4 - 21 = 0
(x - 2)² - 25 = 0
Then the solution to the equation will be
(x - 2)² = 25
(x - 2) = ±5
x = 2 ± 5
x = 7, -3
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
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