The answer is 289/4.
Solve the equation
By using quadratic equation formula a[tex]x^{2}[/tex] + bx + c = 0, we get:
⇒ [tex]x^{2}[/tex] + 17x + 12 = 0
⇒ [tex]x^{2}[/tex] + 17x = -12
Take half of the second coefficient, square it, then add the result to both sides.
⇒ (17/2)² = 289/4
⇒ [tex]x^{2}[/tex] + 17x + 289/4 = -12 + 289/4
⇒ (x + 17/2)² = 241/4
What are quadratic equations?
Quadratic equations are second-degree algebraic expressions and are of the form a[tex]x^{2}[/tex] + bx + c = 0.
Learn more about quadratic equations here: brainly.com/question/8649555
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