Question

Use the quadratic formula to solve the equation below. x (x + 16) = − 64

Answer 1

X2+16X+64=0
(x+8)(x+8)=0
x+8=0
x=-8

Answer 2

Answer:

x (x + 16) = -64

= x.x + x.16 = -64

= x² + 16x = -64

= x² + 16x + 64 = 0 ( Rumus )

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${x}^{2} + 16x + 64 = 0$

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$a = 1 \\ b = 16 \\ c = 64 \\ a \times c = 64$

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ABC FORMULA

$x1.2 = \frac{ - b ± \sqrt{ {b}^{2} - 4ac } }{2a}$

$x1.2 = \frac{ - 16 \sqrt{ {16}^{2} - 4(64)} }{2(1)}$

$x1.2 = \frac{ - 16 \sqrt{256 - 256} }{2}$

$x1.2 = \frac{ - 16}{2}$

$\boxed{ \bold{ x1.2 = - 8}}(c)$

the roots of the quadratic equation are -8

or use this Method:

Method FACTORING

x² + 16x + 64 = 0

____________

(a = 1)

(b = 16)

(c = 64)

(a × c = 64)

... × ... = a×c = 64 | 8 × 8 = 64

.... + .... = b = 16 | 8 + 8 = 16

= 8

____________

Subtitution value 8:

(x + ....) (x + ....) = 0

(x + 8) (x + 8) = 0

x + 8 = 0

x = 0 - 8

x = -8

the roots of the quadratic equation are -8

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