The values of x after solving the quadratic equation x²+14x-1 , using completing the square method is -√50-7 or +√50-7.
<h3>What is a quadratic equation?</h3>
A Quadratic equations is second-degree algebraic expressions and is of the form ax² + bx + c = 0.
Uisng the method of completing the square to solve the equation below, we following the steps.
Equation ⇒ x²+14x-1 = 0
Step 1:
Take the constant to the other side of the equation
Step 2:
Find half the coefficient of x, square, and add it to both side of the equation.
- Coefficient of x = 14
- Half coefficient of x = 14/2 = 7
- square of half the coefficient of x = 7²
There,
- x²+14x+7² = 1+7²
- x²+14x+7² = 50
Step 3:
Express the trinomial on the left side as a square of binomial
Step 4:
Take the square root of both side.
Step 5:
Make x the subject of the equation by moving 7 to the other side of the equation
Step 6:
Seperate the expression for each value of x
- Either x = -√50-7
- or x = +√50-7
Hence, the value of x is -√50-7 or +√50-7.
Learn more about quadratic equation here: brainly.com/question/25841119
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