Question

Please help me fast with steps
.
.
find the quadratic formula
2x square + x -4 =0

​

Answer 1

Step-by-step explanation:

Given -

• p(x) = 2x² + x - 4

To Find -

• Zeroes of the polynomial

Using Quadratic formula :-

• x = -b ± √b² - 4ac/2a

here,

a = 2

b = 1

c = -4

Now,

x = -(1) ± √(1)² - 4×2×-4/2(2)

» -1 ± √1 + 32/4

» -1 ± √33/4

Zeroes are -

• x = -1 + √33/4

and

• x = -1 - √33/4

Verification :-

As we know that :-

• αβ = c/a

» -1 + √33/4 × -1 - √33/4 = -4/2

» (-1)² - (√33)²/16 = -4/2

» 1 - 33/16 = -2

» -32/16 = -2

» -2 = -2

LHS = RHS

And

• α + β = -b/a

-1 + √33/4 + -1 - √33/4 = -1/2

» -1 + √33 -1 - √33/4 = -1/2

» -2/4 = -1/2

» -1/2 = -1/2

LHS = RHS

Hence,

Verified..

Answer 2

$\large{\boxed{\underline{\underline{\bf{\red{Answer:-}}}}}}$

$\implies$ -1 + √33/4

$\implies$ -1 - √33/4

$\large\underline\mathrm{Given:-}$

• p(x) = 2x² + x - 4

$\large\underline\mathrm{To \: find}$

• zeroes of the polynomial.

$\large\underline\mathrm{Using Quadratic formula:-}$

• x = -b +,- √b² - 4ac/2a

$\large\underline\mathrm{Then,}$

$\implies$ a = 2

$\implies$ b = 1

$\implies$ c = -4

$\large\underline\mathrm{Solution}$

$\implies$ x = -b +,- √b² - 4ac/2a

$\implies$ x = -(1) +,- √(1)² - 4 × 1× 2/2(2)

$\implies$ -1 +,- √1 + 32/4

$\implies$ -1 +,- √33/4

$\implies$ -1 + √33/4

$\implies$ -1 - √33/4

$\large\underline\mathrm{Hence,}$

$\large\underline\mathrm{The \: equation \: of \: x \: is \: -1 \: + \: √33/4 \: and \: -1 \: - \: √33/4.</p><p>}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$