Respuesta :
The standard equation x² + 6x = 15 is transformed into square form will be (x + 3)² = 24.
What is a quadratic equation?
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
Convert the standard equation into the vertex form.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The quadratic equation is given below.
x² + 6x = 15
Take the coefficient of x, half the number.
⇒ 6/2
⇒ 3
Then square the resultant number
⇒ 3²
⇒ 9
And both the sides of the equation.
x² + 6x + 9 = 15 + 9
(x + 3)² = 24
Then the standard equation x² + 6x = 15 is transformed into square form will be (x + 3)² = 24.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
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